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Finding the Fourth Proportional to 17,738, 24,479.76 and 11,023.91

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Solution

The fourth proportional to 17,738, 24,479.76 and 11,023.91 is: 15,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 24,479.76 = 11,023.91 : x
  2. Step 2: Convert to fraction form
    17,738/24,479.76 = 11,023.91/x
  3. Step 3: Cross multiply
    17,738x = 24,479.76 × 11,023.91
  4. Step 4: Simplify right side
    17,738x = 269,862,671.06
  5. Step 5: Solve for x
    x = 269,862,671.06/17,738
  6. Step 6: Final answer
    x = 15,213.82

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1.5x scale

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.