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Finding the Fourth Proportional to 20,142.57, 30,203.48 and 9,039.74

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Solution

The fourth proportional to 20,142.57, 30,203.48 and 9,039.74 is: 13,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.57 : 30,203.48 = 9,039.74 : x
  2. Step 2: Convert to fraction form
    20,142.57/30,203.48 = 9,039.74/x
  3. Step 3: Cross multiply
    20,142.57x = 30,203.48 × 9,039.74
  4. Step 4: Simplify right side
    20,142.57x = 273,031,606.30
  5. Step 5: Solve for x
    x = 273,031,606.30/20,142.57
  6. Step 6: Final answer
    x = 13,554.95

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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.