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Finding the Fourth Proportional to 12,986.44, 17,921.70 and 7,397.80

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Solution

The fourth proportional to 12,986.44, 17,921.70 and 7,397.80 is: 10,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.44 : 17,921.70 = 7,397.80 : x
  2. Step 2: Convert to fraction form
    12,986.44/17,921.70 = 7,397.80/x
  3. Step 3: Cross multiply
    12,986.44x = 17,921.70 × 7,397.80
  4. Step 4: Simplify right side
    12,986.44x = 132,581,152.26
  5. Step 5: Solve for x
    x = 132,581,152.26/12,986.44
  6. Step 6: Final answer
    x = 10,209.20

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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.