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Finding the Fourth Proportional to 25,700.16, 38,545.92 and 7,232.64

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Solution

The fourth proportional to 25,700.16, 38,545.92 and 7,232.64 is: 10,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.16 : 38,545.92 = 7,232.64 : x
  2. Step 2: Convert to fraction form
    25,700.16/38,545.92 = 7,232.64/x
  3. Step 3: Cross multiply
    25,700.16x = 38,545.92 × 7,232.64
  4. Step 4: Simplify right side
    25,700.16x = 278,788,762.83
  5. Step 5: Solve for x
    x = 278,788,762.83/25,700.16
  6. Step 6: Final answer
    x = 10,847.74

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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.