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Finding the Fourth Proportional to 25,862.52, 38,717.24 and 15,970

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Solution

The fourth proportional to 25,862.52, 38,717.24 and 15,970 is: 23,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.52 : 38,717.24 = 15,970 : x
  2. Step 2: Convert to fraction form
    25,862.52/38,717.24 = 15,970/x
  3. Step 3: Cross multiply
    25,862.52x = 38,717.24 × 15,970
  4. Step 4: Simplify right side
    25,862.52x = 618,314,322.80
  5. Step 5: Solve for x
    x = 618,314,322.80/25,862.52
  6. Step 6: Final answer
    x = 23,907.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.