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Finding the Fourth Proportional to 26,671.68, 40,008 and 6,949.04

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Solution

The fourth proportional to 26,671.68, 40,008 and 6,949.04 is: 10,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,671.68 : 40,008 = 6,949.04 : x
  2. Step 2: Convert to fraction form
    26,671.68/40,008 = 6,949.04/x
  3. Step 3: Cross multiply
    26,671.68x = 40,008 × 6,949.04
  4. Step 4: Simplify right side
    26,671.68x = 278,017,192.32
  5. Step 5: Solve for x
    x = 278,017,192.32/26,671.68
  6. Step 6: Final answer
    x = 10,423.69

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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.