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Finding the Fourth Proportional to 16,155.52, 22,296.72 and 9,082

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Solution

The fourth proportional to 16,155.52, 22,296.72 and 9,082 is: 12,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.52 : 22,296.72 = 9,082 : x
  2. Step 2: Convert to fraction form
    16,155.52/22,296.72 = 9,082/x
  3. Step 3: Cross multiply
    16,155.52x = 22,296.72 × 9,082
  4. Step 4: Simplify right side
    16,155.52x = 202,498,811.04
  5. Step 5: Solve for x
    x = 202,498,811.04/16,155.52
  6. Step 6: Final answer
    x = 12,534.34

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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.