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Finding the Fourth Proportional to 25,264.71, 37,878.84 and 15,780.42

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Solution

The fourth proportional to 25,264.71, 37,878.84 and 15,780.42 is: 23,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.71 : 37,878.84 = 15,780.42 : x
  2. Step 2: Convert to fraction form
    25,264.71/37,878.84 = 15,780.42/x
  3. Step 3: Cross multiply
    25,264.71x = 37,878.84 × 15,780.42
  4. Step 4: Simplify right side
    25,264.71x = 597,744,004.31
  5. Step 5: Solve for x
    x = 597,744,004.31/25,264.71
  6. Step 6: Final answer
    x = 23,659.25

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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.