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Finding the Fourth Proportional to 12,988.44, 17,924.16 and 7,399.80

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Solution

The fourth proportional to 12,988.44, 17,924.16 and 7,399.80 is: 10,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.44 : 17,924.16 = 7,399.80 : x
  2. Step 2: Convert to fraction form
    12,988.44/17,924.16 = 7,399.80/x
  3. Step 3: Cross multiply
    12,988.44x = 17,924.16 × 7,399.80
  4. Step 4: Simplify right side
    12,988.44x = 132,635,199.17
  5. Step 5: Solve for x
    x = 132,635,199.17/12,988.44
  6. Step 6: Final answer
    x = 10,211.79

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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.