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Finding the Fourth Proportional to 20,217.60, 30,277.80 and 9,817.20

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Solution

The fourth proportional to 20,217.60, 30,277.80 and 9,817.20 is: 14,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.60 : 30,277.80 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    20,217.60/30,277.80 = 9,817.20/x
  3. Step 3: Cross multiply
    20,217.60x = 30,277.80 × 9,817.20
  4. Step 4: Simplify right side
    20,217.60x = 297,243,218.16
  5. Step 5: Solve for x
    x = 297,243,218.16/20,217.60
  6. Step 6: Final answer
    x = 14,702.20

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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.