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Finding the Fourth Proportional to 12,732.80, 19,099.20 and 9,452.30

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Solution

The fourth proportional to 12,732.80, 19,099.20 and 9,452.30 is: 14,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.80 : 19,099.20 = 9,452.30 : x
  2. Step 2: Convert to fraction form
    12,732.80/19,099.20 = 9,452.30/x
  3. Step 3: Cross multiply
    12,732.80x = 19,099.20 × 9,452.30
  4. Step 4: Simplify right side
    12,732.80x = 180,531,368.16
  5. Step 5: Solve for x
    x = 180,531,368.16/12,732.80
  6. Step 6: Final answer
    x = 14,178.45

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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.