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Finding the Fourth Proportional to 10,681.60, 16,003.20 and 9,452.80

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Solution

The fourth proportional to 10,681.60, 16,003.20 and 9,452.80 is: 14,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.60 : 16,003.20 = 9,452.80 : x
  2. Step 2: Convert to fraction form
    10,681.60/16,003.20 = 9,452.80/x
  3. Step 3: Cross multiply
    10,681.60x = 16,003.20 × 9,452.80
  4. Step 4: Simplify right side
    10,681.60x = 151,275,048.96
  5. Step 5: Solve for x
    x = 151,275,048.96/10,681.60
  6. Step 6: Final answer
    x = 14,162.21

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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.