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Finding the Fourth Proportional to 20,685.92, 31,036.40 and 10,154.83

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Solution

The fourth proportional to 20,685.92, 31,036.40 and 10,154.83 is: 15,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.92 : 31,036.40 = 10,154.83 : x
  2. Step 2: Convert to fraction form
    20,685.92/31,036.40 = 10,154.83/x
  3. Step 3: Cross multiply
    20,685.92x = 31,036.40 × 10,154.83
  4. Step 4: Simplify right side
    20,685.92x = 315,169,365.81
  5. Step 5: Solve for x
    x = 315,169,365.81/20,685.92
  6. Step 6: Final answer
    x = 15,235.94

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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.