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Finding the Fourth Proportional to 16,414.38, 22,654.45 and 9,343.08

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Solution

The fourth proportional to 16,414.38, 22,654.45 and 9,343.08 is: 12,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.38 : 22,654.45 = 9,343.08 : x
  2. Step 2: Convert to fraction form
    16,414.38/22,654.45 = 9,343.08/x
  3. Step 3: Cross multiply
    16,414.38x = 22,654.45 × 9,343.08
  4. Step 4: Simplify right side
    16,414.38x = 211,662,338.71
  5. Step 5: Solve for x
    x = 211,662,338.71/16,414.38
  6. Step 6: Final answer
    x = 12,894.93

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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.