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Finding the Fourth Proportional to 16,366.72, 22,586.16 and 9,196.94

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Solution

The fourth proportional to 16,366.72, 22,586.16 and 9,196.94 is: 12,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.72 : 22,586.16 = 9,196.94 : x
  2. Step 2: Convert to fraction form
    16,366.72/22,586.16 = 9,196.94/x
  3. Step 3: Cross multiply
    16,366.72x = 22,586.16 × 9,196.94
  4. Step 4: Simplify right side
    16,366.72x = 207,723,445.42
  5. Step 5: Solve for x
    x = 207,723,445.42/16,366.72
  6. Step 6: Final answer
    x = 12,691.82

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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.