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Finding the Fourth Proportional to 12,023.38, 16,594.08 and 7,306.75

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Solution

The fourth proportional to 12,023.38, 16,594.08 and 7,306.75 is: 10,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.38 : 16,594.08 = 7,306.75 : x
  2. Step 2: Convert to fraction form
    12,023.38/16,594.08 = 7,306.75/x
  3. Step 3: Cross multiply
    12,023.38x = 16,594.08 × 7,306.75
  4. Step 4: Simplify right side
    12,023.38x = 121,248,711.07
  5. Step 5: Solve for x
    x = 121,248,711.07/12,023.38
  6. Step 6: Final answer
    x = 10,084.42

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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.