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Finding the Fourth Proportional to 10,121.80, 15,182.70 and 9,214.60

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Solution

The fourth proportional to 10,121.80, 15,182.70 and 9,214.60 is: 13,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.80 : 15,182.70 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    10,121.80/15,182.70 = 9,214.60/x
  3. Step 3: Cross multiply
    10,121.80x = 15,182.70 × 9,214.60
  4. Step 4: Simplify right side
    10,121.80x = 139,902,507.42
  5. Step 5: Solve for x
    x = 139,902,507.42/10,121.80
  6. Step 6: Final answer
    x = 13,821.90

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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.