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Finding the Fourth Proportional to 12,506.48, 18,766.56 and 4,189.04

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Solution

The fourth proportional to 12,506.48, 18,766.56 and 4,189.04 is: 6,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.48 : 18,766.56 = 4,189.04 : x
  2. Step 2: Convert to fraction form
    12,506.48/18,766.56 = 4,189.04/x
  3. Step 3: Cross multiply
    12,506.48x = 18,766.56 × 4,189.04
  4. Step 4: Simplify right side
    12,506.48x = 78,613,870.50
  5. Step 5: Solve for x
    x = 78,613,870.50/12,506.48
  6. Step 6: Final answer
    x = 6,285.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.