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Finding the Fourth Proportional to 12,731.34, 17,566.02 and 8,191.92

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Solution

The fourth proportional to 12,731.34, 17,566.02 and 8,191.92 is: 11,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.34 : 17,566.02 = 8,191.92 : x
  2. Step 2: Convert to fraction form
    12,731.34/17,566.02 = 8,191.92/x
  3. Step 3: Cross multiply
    12,731.34x = 17,566.02 × 8,191.92
  4. Step 4: Simplify right side
    12,731.34x = 143,899,430.56
  5. Step 5: Solve for x
    x = 143,899,430.56/12,731.34
  6. Step 6: Final answer
    x = 11,302.77

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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.