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Finding the Fourth Proportional to 20,065.86, 30,102.48 and 6,737.58

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Solution

The fourth proportional to 20,065.86, 30,102.48 and 6,737.58 is: 10,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.86 : 30,102.48 = 6,737.58 : x
  2. Step 2: Convert to fraction form
    20,065.86/30,102.48 = 6,737.58/x
  3. Step 3: Cross multiply
    20,065.86x = 30,102.48 × 6,737.58
  4. Step 4: Simplify right side
    20,065.86x = 202,817,867.20
  5. Step 5: Solve for x
    x = 202,817,867.20/20,065.86
  6. Step 6: Final answer
    x = 10,107.61

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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.