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Finding the Fourth Proportional to 16,007.22, 22,089.96 and 9,294.12

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Solution

The fourth proportional to 16,007.22, 22,089.96 and 9,294.12 is: 12,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.22 : 22,089.96 = 9,294.12 : x
  2. Step 2: Convert to fraction form
    16,007.22/22,089.96 = 9,294.12/x
  3. Step 3: Cross multiply
    16,007.22x = 22,089.96 × 9,294.12
  4. Step 4: Simplify right side
    16,007.22x = 205,306,739.04
  5. Step 5: Solve for x
    x = 205,306,739.04/16,007.22
  6. Step 6: Final answer
    x = 12,825.88

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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.