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Finding the Fourth Proportional to 10,843.74, 16,270.47 and 9,988.38

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Solution

The fourth proportional to 10,843.74, 16,270.47 and 9,988.38 is: 14,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.74 : 16,270.47 = 9,988.38 : x
  2. Step 2: Convert to fraction form
    10,843.74/16,270.47 = 9,988.38/x
  3. Step 3: Cross multiply
    10,843.74x = 16,270.47 × 9,988.38
  4. Step 4: Simplify right side
    10,843.74x = 162,515,637.14
  5. Step 5: Solve for x
    x = 162,515,637.14/10,843.74
  6. Step 6: Final answer
    x = 14,987.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.