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Finding the Fourth Proportional to 12,691.81, 17,522.64 and 8,156.33

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Solution

The fourth proportional to 12,691.81, 17,522.64 and 8,156.33 is: 11,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.81 : 17,522.64 = 8,156.33 : x
  2. Step 2: Convert to fraction form
    12,691.81/17,522.64 = 8,156.33/x
  3. Step 3: Cross multiply
    12,691.81x = 17,522.64 × 8,156.33
  4. Step 4: Simplify right side
    12,691.81x = 142,920,434.31
  5. Step 5: Solve for x
    x = 142,920,434.31/12,691.81
  6. Step 6: Final answer
    x = 11,260.84

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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.