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Finding the Fourth Proportional to 12,432.74, 17,156.65 and 6,767.49

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Solution

The fourth proportional to 12,432.74, 17,156.65 and 6,767.49 is: 9,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.74 : 17,156.65 = 6,767.49 : x
  2. Step 2: Convert to fraction form
    12,432.74/17,156.65 = 6,767.49/x
  3. Step 3: Cross multiply
    12,432.74x = 17,156.65 × 6,767.49
  4. Step 4: Simplify right side
    12,432.74x = 116,107,457.31
  5. Step 5: Solve for x
    x = 116,107,457.31/12,432.74
  6. Step 6: Final answer
    x = 9,338.85

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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.