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Finding the Fourth Proportional to 19,428, 26,810.64 and 11,046.12

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Solution

The fourth proportional to 19,428, 26,810.64 and 11,046.12 is: 15,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428 : 26,810.64 = 11,046.12 : x
  2. Step 2: Convert to fraction form
    19,428/26,810.64 = 11,046.12/x
  3. Step 3: Cross multiply
    19,428x = 26,810.64 × 11,046.12
  4. Step 4: Simplify right side
    19,428x = 296,153,546.72
  5. Step 5: Solve for x
    x = 296,153,546.72/19,428
  6. Step 6: Final answer
    x = 15,243.65

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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.