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Finding the Fourth Proportional to 24,608.20, 36,894.42 and 9,812.68

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Solution

The fourth proportional to 24,608.20, 36,894.42 and 9,812.68 is: 14,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.20 : 36,894.42 = 9,812.68 : x
  2. Step 2: Convert to fraction form
    24,608.20/36,894.42 = 9,812.68/x
  3. Step 3: Cross multiply
    24,608.20x = 36,894.42 × 9,812.68
  4. Step 4: Simplify right side
    24,608.20x = 362,033,137.25
  5. Step 5: Solve for x
    x = 362,033,137.25/24,608.20
  6. Step 6: Final answer
    x = 14,711.89

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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.