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Finding the Fourth Proportional to 12,018.06, 16,593.12 and 7,833.60

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Solution

The fourth proportional to 12,018.06, 16,593.12 and 7,833.60 is: 10,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.06 : 16,593.12 = 7,833.60 : x
  2. Step 2: Convert to fraction form
    12,018.06/16,593.12 = 7,833.60/x
  3. Step 3: Cross multiply
    12,018.06x = 16,593.12 × 7,833.60
  4. Step 4: Simplify right side
    12,018.06x = 129,983,864.83
  5. Step 5: Solve for x
    x = 129,983,864.83/12,018.06
  6. Step 6: Final answer
    x = 10,815.71

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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.