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Finding the Fourth Proportional to 12,382,411.59, 17,059,610.07 and 9,581,904.09

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Solution

The fourth proportional to 12,382,411.59, 17,059,610.07 and 9,581,904.09 is: 13,201,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382,411.59 : 17,059,610.07 = 9,581,904.09 : x
  2. Step 2: Convert to fraction form
    12,382,411.59/17,059,610.07 = 9,581,904.09/x
  3. Step 3: Cross multiply
    12,382,411.59x = 17,059,610.07 × 9,581,904.09
  4. Step 4: Simplify right side
    12,382,411.59x = 163,463,547,503,538.19
  5. Step 5: Solve for x
    x = 163,463,547,503,538.19/12,382,411.59
  6. Step 6: Final answer
    x = 13,201,269.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.