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Finding the Fourth Proportional to 25,711.32, 38,561.58 and 7,239

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Solution

The fourth proportional to 25,711.32, 38,561.58 and 7,239 is: 10,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.32 : 38,561.58 = 7,239 : x
  2. Step 2: Convert to fraction form
    25,711.32/38,561.58 = 7,239/x
  3. Step 3: Cross multiply
    25,711.32x = 38,561.58 × 7,239
  4. Step 4: Simplify right side
    25,711.32x = 279,147,277.62
  5. Step 5: Solve for x
    x = 279,147,277.62/25,711.32
  6. Step 6: Final answer
    x = 10,856.98

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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.