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Finding the Fourth Proportional to 23,154.76, 34,732.14 and 5,624.47

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Solution

The fourth proportional to 23,154.76, 34,732.14 and 5,624.47 is: 8,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.76 : 34,732.14 = 5,624.47 : x
  2. Step 2: Convert to fraction form
    23,154.76/34,732.14 = 5,624.47/x
  3. Step 3: Cross multiply
    23,154.76x = 34,732.14 × 5,624.47
  4. Step 4: Simplify right side
    23,154.76x = 195,349,933.43
  5. Step 5: Solve for x
    x = 195,349,933.43/23,154.76
  6. Step 6: Final answer
    x = 8,436.71

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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.