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Finding the Fourth Proportional to 20,030.87, 30,022.71 and 8,177.24

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Solution

The fourth proportional to 20,030.87, 30,022.71 and 8,177.24 is: 12,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.87 : 30,022.71 = 8,177.24 : x
  2. Step 2: Convert to fraction form
    20,030.87/30,022.71 = 8,177.24/x
  3. Step 3: Cross multiply
    20,030.87x = 30,022.71 × 8,177.24
  4. Step 4: Simplify right side
    20,030.87x = 245,502,905.12
  5. Step 5: Solve for x
    x = 245,502,905.12/20,030.87
  6. Step 6: Final answer
    x = 12,256.23

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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.