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Finding the Fourth Proportional to 38,823.66, 58,239.12 and 13,866.30

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Solution

The fourth proportional to 38,823.66, 58,239.12 and 13,866.30 is: 20,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823.66 : 58,239.12 = 13,866.30 : x
  2. Step 2: Convert to fraction form
    38,823.66/58,239.12 = 13,866.30/x
  3. Step 3: Cross multiply
    38,823.66x = 58,239.12 × 13,866.30
  4. Step 4: Simplify right side
    38,823.66x = 807,561,109.66
  5. Step 5: Solve for x
    x = 807,561,109.66/38,823.66
  6. Step 6: Final answer
    x = 20,800.75

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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.