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Finding the Fourth Proportional to 16,319.16, 22,519.17 and 9,246.69

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Solution

The fourth proportional to 16,319.16, 22,519.17 and 9,246.69 is: 12,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.16 : 22,519.17 = 9,246.69 : x
  2. Step 2: Convert to fraction form
    16,319.16/22,519.17 = 9,246.69/x
  3. Step 3: Cross multiply
    16,319.16x = 22,519.17 × 9,246.69
  4. Step 4: Simplify right side
    16,319.16x = 208,227,784.05
  5. Step 5: Solve for x
    x = 208,227,784.05/16,319.16
  6. Step 6: Final answer
    x = 12,759.71

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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.