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Finding the Fourth Proportional to 16,561.75, 22,855 and 9,007.92

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Solution

The fourth proportional to 16,561.75, 22,855 and 9,007.92 is: 12,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.75 : 22,855 = 9,007.92 : x
  2. Step 2: Convert to fraction form
    16,561.75/22,855 = 9,007.92/x
  3. Step 3: Cross multiply
    16,561.75x = 22,855 × 9,007.92
  4. Step 4: Simplify right side
    16,561.75x = 205,876,011.60
  5. Step 5: Solve for x
    x = 205,876,011.60/16,561.75
  6. Step 6: Final answer
    x = 12,430.81

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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.