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Finding the Fourth Proportional to 16,234.58, 24,320.88 and 9,640.77

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Solution

The fourth proportional to 16,234.58, 24,320.88 and 9,640.77 is: 14,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.58 : 24,320.88 = 9,640.77 : x
  2. Step 2: Convert to fraction form
    16,234.58/24,320.88 = 9,640.77/x
  3. Step 3: Cross multiply
    16,234.58x = 24,320.88 × 9,640.77
  4. Step 4: Simplify right side
    16,234.58x = 234,472,010.28
  5. Step 5: Solve for x
    x = 234,472,010.28/16,234.58
  6. Step 6: Final answer
    x = 14,442.76

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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.