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Finding the Fourth Proportional to 17,407.97, 24,022.74 and 9,855.74

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Solution

The fourth proportional to 17,407.97, 24,022.74 and 9,855.74 is: 13,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.97 : 24,022.74 = 9,855.74 : x
  2. Step 2: Convert to fraction form
    17,407.97/24,022.74 = 9,855.74/x
  3. Step 3: Cross multiply
    17,407.97x = 24,022.74 × 9,855.74
  4. Step 4: Simplify right side
    17,407.97x = 236,761,879.53
  5. Step 5: Solve for x
    x = 236,761,879.53/17,407.97
  6. Step 6: Final answer
    x = 13,600.77

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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.