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Finding the Fourth Proportional to 24,023.25, 36,039.49 and 7,380.32

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Solution

The fourth proportional to 24,023.25, 36,039.49 and 7,380.32 is: 11,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.25 : 36,039.49 = 7,380.32 : x
  2. Step 2: Convert to fraction form
    24,023.25/36,039.49 = 7,380.32/x
  3. Step 3: Cross multiply
    24,023.25x = 36,039.49 × 7,380.32
  4. Step 4: Simplify right side
    24,023.25x = 265,982,770.19
  5. Step 5: Solve for x
    x = 265,982,770.19/24,023.25
  6. Step 6: Final answer
    x = 11,071.89

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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.