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Finding the Fourth Proportional to 24,031.23, 36,061.47 and 9,241.44

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Solution

The fourth proportional to 24,031.23, 36,061.47 and 9,241.44 is: 13,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.23 : 36,061.47 = 9,241.44 : x
  2. Step 2: Convert to fraction form
    24,031.23/36,061.47 = 9,241.44/x
  3. Step 3: Cross multiply
    24,031.23x = 36,061.47 × 9,241.44
  4. Step 4: Simplify right side
    24,031.23x = 333,259,911.32
  5. Step 5: Solve for x
    x = 333,259,911.32/24,031.23
  6. Step 6: Final answer
    x = 13,867.78

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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.