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Finding the Fourth Proportional to 12,753.09, 19,134.70 and 5,731.20

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Solution

The fourth proportional to 12,753.09, 19,134.70 and 5,731.20 is: 8,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.09 : 19,134.70 = 5,731.20 : x
  2. Step 2: Convert to fraction form
    12,753.09/19,134.70 = 5,731.20/x
  3. Step 3: Cross multiply
    12,753.09x = 19,134.70 × 5,731.20
  4. Step 4: Simplify right side
    12,753.09x = 109,664,778.31
  5. Step 5: Solve for x
    x = 109,664,778.31/12,753.09
  6. Step 6: Final answer
    x = 8,599.08

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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.