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Finding the Fourth Proportional to 24,002.73, 36,002.88 and 8,419.14

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Solution

The fourth proportional to 24,002.73, 36,002.88 and 8,419.14 is: 12,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.73 : 36,002.88 = 8,419.14 : x
  2. Step 2: Convert to fraction form
    24,002.73/36,002.88 = 8,419.14/x
  3. Step 3: Cross multiply
    24,002.73x = 36,002.88 × 8,419.14
  4. Step 4: Simplify right side
    24,002.73x = 303,113,287.12
  5. Step 5: Solve for x
    x = 303,113,287.12/24,002.73
  6. Step 6: Final answer
    x = 12,628.28

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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.