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Finding the Fourth Proportional to 25,710.30, 35,478.24 and 15,637.38

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Solution

The fourth proportional to 25,710.30, 35,478.24 and 15,637.38 is: 21,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.30 : 35,478.24 = 15,637.38 : x
  2. Step 2: Convert to fraction form
    25,710.30/35,478.24 = 15,637.38/x
  3. Step 3: Cross multiply
    25,710.30x = 35,478.24 × 15,637.38
  4. Step 4: Simplify right side
    25,710.30x = 554,786,720.61
  5. Step 5: Solve for x
    x = 554,786,720.61/25,710.30
  6. Step 6: Final answer
    x = 21,578.38

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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.