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Finding the Fourth Proportional to 16,297.60, 24,452.96 and 5,910.08

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Solution

The fourth proportional to 16,297.60, 24,452.96 and 5,910.08 is: 8,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.60 : 24,452.96 = 5,910.08 : x
  2. Step 2: Convert to fraction form
    16,297.60/24,452.96 = 5,910.08/x
  3. Step 3: Cross multiply
    16,297.60x = 24,452.96 × 5,910.08
  4. Step 4: Simplify right side
    16,297.60x = 144,518,949.84
  5. Step 5: Solve for x
    x = 144,518,949.84/16,297.60
  6. Step 6: Final answer
    x = 8,867.50

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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.