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Finding the Fourth Proportional to 24,160.97, 36,241 and 9,926.43

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Solution

The fourth proportional to 24,160.97, 36,241 and 9,926.43 is: 14,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,160.97 : 36,241 = 9,926.43 : x
  2. Step 2: Convert to fraction form
    24,160.97/36,241 = 9,926.43/x
  3. Step 3: Cross multiply
    24,160.97x = 36,241 × 9,926.43
  4. Step 4: Simplify right side
    24,160.97x = 359,743,749.63
  5. Step 5: Solve for x
    x = 359,743,749.63/24,160.97
  6. Step 6: Final answer
    x = 14,889.46

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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.