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Finding the Fourth Proportional to 12,187.86, 16,822.35 and 6,885.78

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Solution

The fourth proportional to 12,187.86, 16,822.35 and 6,885.78 is: 9,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.86 : 16,822.35 = 6,885.78 : x
  2. Step 2: Convert to fraction form
    12,187.86/16,822.35 = 6,885.78/x
  3. Step 3: Cross multiply
    12,187.86x = 16,822.35 × 6,885.78
  4. Step 4: Simplify right side
    12,187.86x = 115,835,001.18
  5. Step 5: Solve for x
    x = 115,835,001.18/12,187.86
  6. Step 6: Final answer
    x = 9,504.13

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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.