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Finding the Fourth Proportional to 38,805.36, 58,205.31 and 13,842.59

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Solution

The fourth proportional to 38,805.36, 58,205.31 and 13,842.59 is: 20,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,805.36 : 58,205.31 = 13,842.59 : x
  2. Step 2: Convert to fraction form
    38,805.36/58,205.31 = 13,842.59/x
  3. Step 3: Cross multiply
    38,805.36x = 58,205.31 × 13,842.59
  4. Step 4: Simplify right side
    38,805.36x = 805,711,951.13
  5. Step 5: Solve for x
    x = 805,711,951.13/38,805.36
  6. Step 6: Final answer
    x = 20,762.90

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