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Finding the Fourth Proportional to 12,182.34, 16,811.70 and 6,593.34

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Solution

The fourth proportional to 12,182.34, 16,811.70 and 6,593.34 is: 9,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.34 : 16,811.70 = 6,593.34 : x
  2. Step 2: Convert to fraction form
    12,182.34/16,811.70 = 6,593.34/x
  3. Step 3: Cross multiply
    12,182.34x = 16,811.70 × 6,593.34
  4. Step 4: Simplify right side
    12,182.34x = 110,845,254.08
  5. Step 5: Solve for x
    x = 110,845,254.08/12,182.34
  6. Step 6: Final answer
    x = 9,098.85

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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.