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Finding the Fourth Proportional to 12,470.86, 17,209.80 and 6,881.86

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Solution

The fourth proportional to 12,470.86, 17,209.80 and 6,881.86 is: 9,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.86 : 17,209.80 = 6,881.86 : x
  2. Step 2: Convert to fraction form
    12,470.86/17,209.80 = 6,881.86/x
  3. Step 3: Cross multiply
    12,470.86x = 17,209.80 × 6,881.86
  4. Step 4: Simplify right side
    12,470.86x = 118,435,434.23
  5. Step 5: Solve for x
    x = 118,435,434.23/12,470.86
  6. Step 6: Final answer
    x = 9,496.97

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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.