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Finding the Fourth Proportional to 23,027.38, 34,518 and 9,703.59

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Solution

The fourth proportional to 23,027.38, 34,518 and 9,703.59 is: 14,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.38 : 34,518 = 9,703.59 : x
  2. Step 2: Convert to fraction form
    23,027.38/34,518 = 9,703.59/x
  3. Step 3: Cross multiply
    23,027.38x = 34,518 × 9,703.59
  4. Step 4: Simplify right side
    23,027.38x = 334,948,519.62
  5. Step 5: Solve for x
    x = 334,948,519.62/23,027.38
  6. Step 6: Final answer
    x = 14,545.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.