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Finding the Fourth Proportional to 20,295.20, 30,437.40 and 6,255.20

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Solution

The fourth proportional to 20,295.20, 30,437.40 and 6,255.20 is: 9,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.20 : 30,437.40 = 6,255.20 : x
  2. Step 2: Convert to fraction form
    20,295.20/30,437.40 = 6,255.20/x
  3. Step 3: Cross multiply
    20,295.20x = 30,437.40 × 6,255.20
  4. Step 4: Simplify right side
    20,295.20x = 190,392,024.48
  5. Step 5: Solve for x
    x = 190,392,024.48/20,295.20
  6. Step 6: Final answer
    x = 9,381.14

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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.