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Finding the Fourth Proportional to 16,316.74, 22,518.69 and 9,147.88

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Solution

The fourth proportional to 16,316.74, 22,518.69 and 9,147.88 is: 12,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.74 : 22,518.69 = 9,147.88 : x
  2. Step 2: Convert to fraction form
    16,316.74/22,518.69 = 9,147.88/x
  3. Step 3: Cross multiply
    16,316.74x = 22,518.69 × 9,147.88
  4. Step 4: Simplify right side
    16,316.74x = 205,998,273.88
  5. Step 5: Solve for x
    x = 205,998,273.88/16,316.74
  6. Step 6: Final answer
    x = 12,624.97

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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.