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Finding the Fourth Proportional to 12,420.86, 17,140.89 and 6,755.65

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Solution

The fourth proportional to 12,420.86, 17,140.89 and 6,755.65 is: 9,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.86 : 17,140.89 = 6,755.65 : x
  2. Step 2: Convert to fraction form
    12,420.86/17,140.89 = 6,755.65/x
  3. Step 3: Cross multiply
    12,420.86x = 17,140.89 × 6,755.65
  4. Step 4: Simplify right side
    12,420.86x = 115,797,853.53
  5. Step 5: Solve for x
    x = 115,797,853.53/12,420.86
  6. Step 6: Final answer
    x = 9,322.86

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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.