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Finding the Fourth Proportional to 24,144.62, 36,208.05 and 8,345.60

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Solution

The fourth proportional to 24,144.62, 36,208.05 and 8,345.60 is: 12,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.62 : 36,208.05 = 8,345.60 : x
  2. Step 2: Convert to fraction form
    24,144.62/36,208.05 = 8,345.60/x
  3. Step 3: Cross multiply
    24,144.62x = 36,208.05 × 8,345.60
  4. Step 4: Simplify right side
    24,144.62x = 302,177,721.04
  5. Step 5: Solve for x
    x = 302,177,721.04/24,144.62
  6. Step 6: Final answer
    x = 12,515.33

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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.