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Finding the Fourth Proportional to 20,281.40, 30,422.16 and 5,490.40

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Solution

The fourth proportional to 20,281.40, 30,422.16 and 5,490.40 is: 8,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.40 : 30,422.16 = 5,490.40 : x
  2. Step 2: Convert to fraction form
    20,281.40/30,422.16 = 5,490.40/x
  3. Step 3: Cross multiply
    20,281.40x = 30,422.16 × 5,490.40
  4. Step 4: Simplify right side
    20,281.40x = 167,029,827.26
  5. Step 5: Solve for x
    x = 167,029,827.26/20,281.40
  6. Step 6: Final answer
    x = 8,235.62

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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.