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Finding the Fourth Proportional to 16,001.42, 22,078.53 and 9,286.16

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Solution

The fourth proportional to 16,001.42, 22,078.53 and 9,286.16 is: 12,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.42 : 22,078.53 = 9,286.16 : x
  2. Step 2: Convert to fraction form
    16,001.42/22,078.53 = 9,286.16/x
  3. Step 3: Cross multiply
    16,001.42x = 22,078.53 × 9,286.16
  4. Step 4: Simplify right side
    16,001.42x = 205,024,651.75
  5. Step 5: Solve for x
    x = 205,024,651.75/16,001.42
  6. Step 6: Final answer
    x = 12,812.91

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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.