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Finding the Fourth Proportional to 25,580.97, 35,292.38 and 15,502.14

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Solution

The fourth proportional to 25,580.97, 35,292.38 and 15,502.14 is: 21,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.97 : 35,292.38 = 15,502.14 : x
  2. Step 2: Convert to fraction form
    25,580.97/35,292.38 = 15,502.14/x
  3. Step 3: Cross multiply
    25,580.97x = 35,292.38 × 15,502.14
  4. Step 4: Simplify right side
    25,580.97x = 547,107,338.18
  5. Step 5: Solve for x
    x = 547,107,338.18/25,580.97
  6. Step 6: Final answer
    x = 21,387.28

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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.