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Finding the Fourth Proportional to 25,874.70, 38,753.70 and 15,464.58

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Solution

The fourth proportional to 25,874.70, 38,753.70 and 15,464.58 is: 23,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.70 : 38,753.70 = 15,464.58 : x
  2. Step 2: Convert to fraction form
    25,874.70/38,753.70 = 15,464.58/x
  3. Step 3: Cross multiply
    25,874.70x = 38,753.70 × 15,464.58
  4. Step 4: Simplify right side
    25,874.70x = 599,309,693.95
  5. Step 5: Solve for x
    x = 599,309,693.95/25,874.70
  6. Step 6: Final answer
    x = 23,162.00

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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.