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Finding the Fourth Proportional to 14,292.38, 19,721.60 and 8,242.83

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Solution

The fourth proportional to 14,292.38, 19,721.60 and 8,242.83 is: 11,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.38 : 19,721.60 = 8,242.83 : x
  2. Step 2: Convert to fraction form
    14,292.38/19,721.60 = 8,242.83/x
  3. Step 3: Cross multiply
    14,292.38x = 19,721.60 × 8,242.83
  4. Step 4: Simplify right side
    14,292.38x = 162,561,754.91
  5. Step 5: Solve for x
    x = 162,561,754.91/14,292.38
  6. Step 6: Final answer
    x = 11,374.02

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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.