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Finding the Fourth Proportional to 24,416.12, 36,626.52 and 6,647

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Solution

The fourth proportional to 24,416.12, 36,626.52 and 6,647 is: 9,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.12 : 36,626.52 = 6,647 : x
  2. Step 2: Convert to fraction form
    24,416.12/36,626.52 = 6,647/x
  3. Step 3: Cross multiply
    24,416.12x = 36,626.52 × 6,647
  4. Step 4: Simplify right side
    24,416.12x = 243,456,478.44
  5. Step 5: Solve for x
    x = 243,456,478.44/24,416.12
  6. Step 6: Final answer
    x = 9,971.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.