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Finding the Fourth Proportional to 17,473.74, 24,110 and 10,398.78

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Solution

The fourth proportional to 17,473.74, 24,110 and 10,398.78 is: 14,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.74 : 24,110 = 10,398.78 : x
  2. Step 2: Convert to fraction form
    17,473.74/24,110 = 10,398.78/x
  3. Step 3: Cross multiply
    17,473.74x = 24,110 × 10,398.78
  4. Step 4: Simplify right side
    17,473.74x = 250,714,585.80
  5. Step 5: Solve for x
    x = 250,714,585.80/17,473.74
  6. Step 6: Final answer
    x = 14,348.08

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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.