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Finding the Fourth Proportional to 20,810.40, 31,226.40 and 9,124.80

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Solution

The fourth proportional to 20,810.40, 31,226.40 and 9,124.80 is: 13,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.40 : 31,226.40 = 9,124.80 : x
  2. Step 2: Convert to fraction form
    20,810.40/31,226.40 = 9,124.80/x
  3. Step 3: Cross multiply
    20,810.40x = 31,226.40 × 9,124.80
  4. Step 4: Simplify right side
    20,810.40x = 284,934,654.72
  5. Step 5: Solve for x
    x = 284,934,654.72/20,810.40
  6. Step 6: Final answer
    x = 13,691.94

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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.