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Finding the Fourth Proportional to 16,222.71, 22,387.67 and 9,147.75

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Solution

The fourth proportional to 16,222.71, 22,387.67 and 9,147.75 is: 12,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.71 : 22,387.67 = 9,147.75 : x
  2. Step 2: Convert to fraction form
    16,222.71/22,387.67 = 9,147.75/x
  3. Step 3: Cross multiply
    16,222.71x = 22,387.67 × 9,147.75
  4. Step 4: Simplify right side
    16,222.71x = 204,796,762.50
  5. Step 5: Solve for x
    x = 204,796,762.50/16,222.71
  6. Step 6: Final answer
    x = 12,624.08

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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.