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Finding the Fourth Proportional to 16,155.84, 24,234.30 and 4,469.16

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Solution

The fourth proportional to 16,155.84, 24,234.30 and 4,469.16 is: 6,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.84 : 24,234.30 = 4,469.16 : x
  2. Step 2: Convert to fraction form
    16,155.84/24,234.30 = 4,469.16/x
  3. Step 3: Cross multiply
    16,155.84x = 24,234.30 × 4,469.16
  4. Step 4: Simplify right side
    16,155.84x = 108,306,964.19
  5. Step 5: Solve for x
    x = 108,306,964.19/16,155.84
  6. Step 6: Final answer
    x = 6,703.89

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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.