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Finding the Fourth Proportional to 10,172.65, 15,269.76 and 9,010.20

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Solution

The fourth proportional to 10,172.65, 15,269.76 and 9,010.20 is: 13,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.65 : 15,269.76 = 9,010.20 : x
  2. Step 2: Convert to fraction form
    10,172.65/15,269.76 = 9,010.20/x
  3. Step 3: Cross multiply
    10,172.65x = 15,269.76 × 9,010.20
  4. Step 4: Simplify right side
    10,172.65x = 137,583,515.20
  5. Step 5: Solve for x
    x = 137,583,515.20/10,172.65
  6. Step 6: Final answer
    x = 13,524.85

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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.