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Finding the Fourth Proportional to 25,523.71, 38,280.20 and 9,723.24

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Solution

The fourth proportional to 25,523.71, 38,280.20 and 9,723.24 is: 14,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.71 : 38,280.20 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    25,523.71/38,280.20 = 9,723.24/x
  3. Step 3: Cross multiply
    25,523.71x = 38,280.20 × 9,723.24
  4. Step 4: Simplify right side
    25,523.71x = 372,207,523.23
  5. Step 5: Solve for x
    x = 372,207,523.23/25,523.71
  6. Step 6: Final answer
    x = 14,582.82

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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.