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Finding the Fourth Proportional to 16,082.08, 22,197.72 and 10,492

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Solution

The fourth proportional to 16,082.08, 22,197.72 and 10,492 is: 14,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.08 : 22,197.72 = 10,492 : x
  2. Step 2: Convert to fraction form
    16,082.08/22,197.72 = 10,492/x
  3. Step 3: Cross multiply
    16,082.08x = 22,197.72 × 10,492
  4. Step 4: Simplify right side
    16,082.08x = 232,898,478.24
  5. Step 5: Solve for x
    x = 232,898,478.24/16,082.08
  6. Step 6: Final answer
    x = 14,481.86

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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.