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Finding the Fourth Proportional to 16,002.16, 22,082.92 and 8,928.58

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Solution

The fourth proportional to 16,002.16, 22,082.92 and 8,928.58 is: 12,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.16 : 22,082.92 = 8,928.58 : x
  2. Step 2: Convert to fraction form
    16,002.16/22,082.92 = 8,928.58/x
  3. Step 3: Cross multiply
    16,002.16x = 22,082.92 × 8,928.58
  4. Step 4: Simplify right side
    16,002.16x = 197,169,117.85
  5. Step 5: Solve for x
    x = 197,169,117.85/16,002.16
  6. Step 6: Final answer
    x = 12,321.41

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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.