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Finding the Fourth Proportional to 12,353.20, 17,052.88 and 7,882.80

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Solution

The fourth proportional to 12,353.20, 17,052.88 and 7,882.80 is: 10,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.20 : 17,052.88 = 7,882.80 : x
  2. Step 2: Convert to fraction form
    12,353.20/17,052.88 = 7,882.80/x
  3. Step 3: Cross multiply
    12,353.20x = 17,052.88 × 7,882.80
  4. Step 4: Simplify right side
    12,353.20x = 134,424,442.46
  5. Step 5: Solve for x
    x = 134,424,442.46/12,353.20
  6. Step 6: Final answer
    x = 10,881.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.