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Finding the Fourth Proportional to 17,993.68, 24,824.76 and 10,435.84

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Solution

The fourth proportional to 17,993.68, 24,824.76 and 10,435.84 is: 14,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,993.68 : 24,824.76 = 10,435.84 : x
  2. Step 2: Convert to fraction form
    17,993.68/24,824.76 = 10,435.84/x
  3. Step 3: Cross multiply
    17,993.68x = 24,824.76 × 10,435.84
  4. Step 4: Simplify right side
    17,993.68x = 259,067,223.40
  5. Step 5: Solve for x
    x = 259,067,223.40/17,993.68
  6. Step 6: Final answer
    x = 14,397.68

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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.