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Finding the Fourth Proportional to 24,432.50, 36,648.76 and 5,964.50

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Solution

The fourth proportional to 24,432.50, 36,648.76 and 5,964.50 is: 8,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.50 : 36,648.76 = 5,964.50 : x
  2. Step 2: Convert to fraction form
    24,432.50/36,648.76 = 5,964.50/x
  3. Step 3: Cross multiply
    24,432.50x = 36,648.76 × 5,964.50
  4. Step 4: Simplify right side
    24,432.50x = 218,591,529.02
  5. Step 5: Solve for x
    x = 218,591,529.02/24,432.50
  6. Step 6: Final answer
    x = 8,946.75

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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.