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Finding the Fourth Proportional to 16,235.76, 24,354.32 and 6,377.17

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Solution

The fourth proportional to 16,235.76, 24,354.32 and 6,377.17 is: 9,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.76 : 24,354.32 = 6,377.17 : x
  2. Step 2: Convert to fraction form
    16,235.76/24,354.32 = 6,377.17/x
  3. Step 3: Cross multiply
    16,235.76x = 24,354.32 × 6,377.17
  4. Step 4: Simplify right side
    16,235.76x = 155,311,638.87
  5. Step 5: Solve for x
    x = 155,311,638.87/16,235.76
  6. Step 6: Final answer
    x = 9,566.02

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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.