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Finding the Fourth Proportional to 17,924, 24,732.24 and 10,370.24

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Solution

The fourth proportional to 17,924, 24,732.24 and 10,370.24 is: 14,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924 : 24,732.24 = 10,370.24 : x
  2. Step 2: Convert to fraction form
    17,924/24,732.24 = 10,370.24/x
  3. Step 3: Cross multiply
    17,924x = 24,732.24 × 10,370.24
  4. Step 4: Simplify right side
    17,924x = 256,479,264.54
  5. Step 5: Solve for x
    x = 256,479,264.54/17,924
  6. Step 6: Final answer
    x = 14,309.26

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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.