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Finding the Fourth Proportional to 12,181.86, 16,810.62 and 6,877.17

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Solution

The fourth proportional to 12,181.86, 16,810.62 and 6,877.17 is: 9,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.86 : 16,810.62 = 6,877.17 : x
  2. Step 2: Convert to fraction form
    12,181.86/16,810.62 = 6,877.17/x
  3. Step 3: Cross multiply
    12,181.86x = 16,810.62 × 6,877.17
  4. Step 4: Simplify right side
    12,181.86x = 115,609,491.55
  5. Step 5: Solve for x
    x = 115,609,491.55/12,181.86
  6. Step 6: Final answer
    x = 9,490.30

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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.