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Finding the Fourth Proportional to 16,234.76, 24,352.82 and 6,376.17

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Solution

The fourth proportional to 16,234.76, 24,352.82 and 6,376.17 is: 9,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.76 : 24,352.82 = 6,376.17 : x
  2. Step 2: Convert to fraction form
    16,234.76/24,352.82 = 6,376.17/x
  3. Step 3: Cross multiply
    16,234.76x = 24,352.82 × 6,376.17
  4. Step 4: Simplify right side
    16,234.76x = 155,277,688.42
  5. Step 5: Solve for x
    x = 155,277,688.42/16,234.76
  6. Step 6: Final answer
    x = 9,564.52

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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.