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Finding the Fourth Proportional to 24,226.40, 36,333.36 and 8,641.76

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Solution

The fourth proportional to 24,226.40, 36,333.36 and 8,641.76 is: 12,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.40 : 36,333.36 = 8,641.76 : x
  2. Step 2: Convert to fraction form
    24,226.40/36,333.36 = 8,641.76/x
  3. Step 3: Cross multiply
    24,226.40x = 36,333.36 × 8,641.76
  4. Step 4: Simplify right side
    24,226.40x = 313,984,177.11
  5. Step 5: Solve for x
    x = 313,984,177.11/24,226.40
  6. Step 6: Final answer
    x = 12,960.41

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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.