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Finding the Fourth Proportional to 12,029.06, 16,613.13 and 8,262.14

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Solution

The fourth proportional to 12,029.06, 16,613.13 and 8,262.14 is: 11,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.06 : 16,613.13 = 8,262.14 : x
  2. Step 2: Convert to fraction form
    12,029.06/16,613.13 = 8,262.14/x
  3. Step 3: Cross multiply
    12,029.06x = 16,613.13 × 8,262.14
  4. Step 4: Simplify right side
    12,029.06x = 137,260,005.90
  5. Step 5: Solve for x
    x = 137,260,005.90/12,029.06
  6. Step 6: Final answer
    x = 11,410.70

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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.