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Finding the Fourth Proportional to 12,732.66, 19,091.29 and 5,711.40

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Solution

The fourth proportional to 12,732.66, 19,091.29 and 5,711.40 is: 8,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.66 : 19,091.29 = 5,711.40 : x
  2. Step 2: Convert to fraction form
    12,732.66/19,091.29 = 5,711.40/x
  3. Step 3: Cross multiply
    12,732.66x = 19,091.29 × 5,711.40
  4. Step 4: Simplify right side
    12,732.66x = 109,037,993.71
  5. Step 5: Solve for x
    x = 109,037,993.71/12,732.66
  6. Step 6: Final answer
    x = 8,563.65

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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.