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Finding the Fourth Proportional to 20,532.80, 30,802.40 and 6,677.44

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Solution

The fourth proportional to 20,532.80, 30,802.40 and 6,677.44 is: 10,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.80 : 30,802.40 = 6,677.44 : x
  2. Step 2: Convert to fraction form
    20,532.80/30,802.40 = 6,677.44/x
  3. Step 3: Cross multiply
    20,532.80x = 30,802.40 × 6,677.44
  4. Step 4: Simplify right side
    20,532.80x = 205,681,177.86
  5. Step 5: Solve for x
    x = 205,681,177.86/20,532.80
  6. Step 6: Final answer
    x = 10,017.20

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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.