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Finding the Fourth Proportional to 12,230.56, 16,878.08 and 6,641.60

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Solution

The fourth proportional to 12,230.56, 16,878.08 and 6,641.60 is: 9,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.56 : 16,878.08 = 6,641.60 : x
  2. Step 2: Convert to fraction form
    12,230.56/16,878.08 = 6,641.60/x
  3. Step 3: Cross multiply
    12,230.56x = 16,878.08 × 6,641.60
  4. Step 4: Simplify right side
    12,230.56x = 112,097,456.13
  5. Step 5: Solve for x
    x = 112,097,456.13/12,230.56
  6. Step 6: Final answer
    x = 9,165.36

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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.