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Finding the Fourth Proportional to 16,006.30, 22,086.51 and 8,931.82

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Solution

The fourth proportional to 16,006.30, 22,086.51 and 8,931.82 is: 12,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.30 : 22,086.51 = 8,931.82 : x
  2. Step 2: Convert to fraction form
    16,006.30/22,086.51 = 8,931.82/x
  3. Step 3: Cross multiply
    16,006.30x = 22,086.51 × 8,931.82
  4. Step 4: Simplify right side
    16,006.30x = 197,272,731.75
  5. Step 5: Solve for x
    x = 197,272,731.75/16,006.30
  6. Step 6: Final answer
    x = 12,324.69

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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.