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Finding the Fourth Proportional to 24,015.32, 36,024.71 and 9,224.24

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Solution

The fourth proportional to 24,015.32, 36,024.71 and 9,224.24 is: 13,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.32 : 36,024.71 = 9,224.24 : x
  2. Step 2: Convert to fraction form
    24,015.32/36,024.71 = 9,224.24/x
  3. Step 3: Cross multiply
    24,015.32x = 36,024.71 × 9,224.24
  4. Step 4: Simplify right side
    24,015.32x = 332,300,570.97
  5. Step 5: Solve for x
    x = 332,300,570.97/24,015.32
  6. Step 6: Final answer
    x = 13,837.02

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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.