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Finding the Fourth Proportional to 25,281.54, 37,906.07 and 10,500.66

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Solution

The fourth proportional to 25,281.54, 37,906.07 and 10,500.66 is: 15,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281.54 : 37,906.07 = 10,500.66 : x
  2. Step 2: Convert to fraction form
    25,281.54/37,906.07 = 10,500.66/x
  3. Step 3: Cross multiply
    25,281.54x = 37,906.07 × 10,500.66
  4. Step 4: Simplify right side
    25,281.54x = 398,038,753.01
  5. Step 5: Solve for x
    x = 398,038,753.01/25,281.54
  6. Step 6: Final answer
    x = 15,744.24

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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.