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Finding the Fourth Proportional to 20,693.91, 28,557 and 11,742.24

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Solution

The fourth proportional to 20,693.91, 28,557 and 11,742.24 is: 16,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.91 : 28,557 = 11,742.24 : x
  2. Step 2: Convert to fraction form
    20,693.91/28,557 = 11,742.24/x
  3. Step 3: Cross multiply
    20,693.91x = 28,557 × 11,742.24
  4. Step 4: Simplify right side
    20,693.91x = 335,323,147.68
  5. Step 5: Solve for x
    x = 335,323,147.68/20,693.91
  6. Step 6: Final answer
    x = 16,203.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.