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Finding the Fourth Proportional to 24,032.72, 36,032.28 and 9,033.68

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Solution

The fourth proportional to 24,032.72, 36,032.28 and 9,033.68 is: 13,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.72 : 36,032.28 = 9,033.68 : x
  2. Step 2: Convert to fraction form
    24,032.72/36,032.28 = 9,033.68/x
  3. Step 3: Cross multiply
    24,032.72x = 36,032.28 × 9,033.68
  4. Step 4: Simplify right side
    24,032.72x = 325,504,087.19
  5. Step 5: Solve for x
    x = 325,504,087.19/24,032.72
  6. Step 6: Final answer
    x = 13,544.21

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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.