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Finding the Fourth Proportional to 17,954, 24,778.16 and 10,502

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Solution

The fourth proportional to 17,954, 24,778.16 and 10,502 is: 14,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 24,778.16 = 10,502 : x
  2. Step 2: Convert to fraction form
    17,954/24,778.16 = 10,502/x
  3. Step 3: Cross multiply
    17,954x = 24,778.16 × 10,502
  4. Step 4: Simplify right side
    17,954x = 260,220,236.32
  5. Step 5: Solve for x
    x = 260,220,236.32/17,954
  6. Step 6: Final answer
    x = 14,493.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.