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Finding the Fourth Proportional to 20,023.74, 27,644.01 and 13,318.50

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Solution

The fourth proportional to 20,023.74, 27,644.01 and 13,318.50 is: 18,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.74 : 27,644.01 = 13,318.50 : x
  2. Step 2: Convert to fraction form
    20,023.74/27,644.01 = 13,318.50/x
  3. Step 3: Cross multiply
    20,023.74x = 27,644.01 × 13,318.50
  4. Step 4: Simplify right side
    20,023.74x = 368,176,747.19
  5. Step 5: Solve for x
    x = 368,176,747.19/20,023.74
  6. Step 6: Final answer
    x = 18,387.01

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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.