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Finding the Fourth Proportional to 24,412.50, 36,618.75 and 5,944.50

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Solution

The fourth proportional to 24,412.50, 36,618.75 and 5,944.50 is: 8,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.50 : 36,618.75 = 5,944.50 : x
  2. Step 2: Convert to fraction form
    24,412.50/36,618.75 = 5,944.50/x
  3. Step 3: Cross multiply
    24,412.50x = 36,618.75 × 5,944.50
  4. Step 4: Simplify right side
    24,412.50x = 217,680,159.38
  5. Step 5: Solve for x
    x = 217,680,159.38/24,412.50
  6. Step 6: Final answer
    x = 8,916.75

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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.