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Finding the Fourth Proportional to 12,478.68, 17,220.08 and 6,813.66

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Solution

The fourth proportional to 12,478.68, 17,220.08 and 6,813.66 is: 9,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.68 : 17,220.08 = 6,813.66 : x
  2. Step 2: Convert to fraction form
    12,478.68/17,220.08 = 6,813.66/x
  3. Step 3: Cross multiply
    12,478.68x = 17,220.08 × 6,813.66
  4. Step 4: Simplify right side
    12,478.68x = 117,331,839.13
  5. Step 5: Solve for x
    x = 117,331,839.13/12,478.68
  6. Step 6: Final answer
    x = 9,402.59

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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.