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Finding the Fourth Proportional to 27,006.46, 40,523.91 and 13,858.83

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Solution

The fourth proportional to 27,006.46, 40,523.91 and 13,858.83 is: 20,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.46 : 40,523.91 = 13,858.83 : x
  2. Step 2: Convert to fraction form
    27,006.46/40,523.91 = 13,858.83/x
  3. Step 3: Cross multiply
    27,006.46x = 40,523.91 × 13,858.83
  4. Step 4: Simplify right side
    27,006.46x = 561,614,077.58
  5. Step 5: Solve for x
    x = 561,614,077.58/27,006.46
  6. Step 6: Final answer
    x = 20,795.55

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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.