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Finding the Fourth Proportional to 21,409.05, 29,547.59 and 12,461.49

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Solution

The fourth proportional to 21,409.05, 29,547.59 and 12,461.49 is: 17,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.05 : 29,547.59 = 12,461.49 : x
  2. Step 2: Convert to fraction form
    21,409.05/29,547.59 = 12,461.49/x
  3. Step 3: Cross multiply
    21,409.05x = 29,547.59 × 12,461.49
  4. Step 4: Simplify right side
    21,409.05x = 368,206,935.00
  5. Step 5: Solve for x
    x = 368,206,935.00/21,409.05
  6. Step 6: Final answer
    x = 17,198.66

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