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Finding the Fourth Proportional to 16,486, 22,750.68 and 8,932.38

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Solution

The fourth proportional to 16,486, 22,750.68 and 8,932.38 is: 12,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 22,750.68 = 8,932.38 : x
  2. Step 2: Convert to fraction form
    16,486/22,750.68 = 8,932.38/x
  3. Step 3: Cross multiply
    16,486x = 22,750.68 × 8,932.38
  4. Step 4: Simplify right side
    16,486x = 203,217,719.02
  5. Step 5: Solve for x
    x = 203,217,719.02/16,486
  6. Step 6: Final answer
    x = 12,326.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.