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Finding the Fourth Proportional to 16,234.80, 22,400.40 and 9,158.64

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Solution

The fourth proportional to 16,234.80, 22,400.40 and 9,158.64 is: 12,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.80 : 22,400.40 = 9,158.64 : x
  2. Step 2: Convert to fraction form
    16,234.80/22,400.40 = 9,158.64/x
  3. Step 3: Cross multiply
    16,234.80x = 22,400.40 × 9,158.64
  4. Step 4: Simplify right side
    16,234.80x = 205,157,199.46
  5. Step 5: Solve for x
    x = 205,157,199.46/16,234.80
  6. Step 6: Final answer
    x = 12,636.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.