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Finding the Fourth Proportional to 10,214.51, 15,321.76 and 8,034.80

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Solution

The fourth proportional to 10,214.51, 15,321.76 and 8,034.80 is: 12,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.51 : 15,321.76 = 8,034.80 : x
  2. Step 2: Convert to fraction form
    10,214.51/15,321.76 = 8,034.80/x
  3. Step 3: Cross multiply
    10,214.51x = 15,321.76 × 8,034.80
  4. Step 4: Simplify right side
    10,214.51x = 123,107,180.55
  5. Step 5: Solve for x
    x = 123,107,180.55/10,214.51
  6. Step 6: Final answer
    x = 12,052.19

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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.