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Finding the Fourth Proportional to 20,567.20, 30,915.60 and 20,178.40

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Solution

The fourth proportional to 20,567.20, 30,915.60 and 20,178.40 is: 30,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.20 : 30,915.60 = 20,178.40 : x
  2. Step 2: Convert to fraction form
    20,567.20/30,915.60 = 20,178.40/x
  3. Step 3: Cross multiply
    20,567.20x = 30,915.60 × 20,178.40
  4. Step 4: Simplify right side
    20,567.20x = 623,827,343.04
  5. Step 5: Solve for x
    x = 623,827,343.04/20,567.20
  6. Step 6: Final answer
    x = 30,331.18

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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.