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Finding the Fourth Proportional to 12,506.67, 18,760.86 and 4,186.35

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Solution

The fourth proportional to 12,506.67, 18,760.86 and 4,186.35 is: 6,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.67 : 18,760.86 = 4,186.35 : x
  2. Step 2: Convert to fraction form
    12,506.67/18,760.86 = 4,186.35/x
  3. Step 3: Cross multiply
    12,506.67x = 18,760.86 × 4,186.35
  4. Step 4: Simplify right side
    12,506.67x = 78,539,526.26
  5. Step 5: Solve for x
    x = 78,539,526.26/12,506.67
  6. Step 6: Final answer
    x = 6,279.81

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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.