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Finding the Fourth Proportional to 17,993.87, 24,834.54 and 10,446.47

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Solution

The fourth proportional to 17,993.87, 24,834.54 and 10,446.47 is: 14,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,993.87 : 24,834.54 = 10,446.47 : x
  2. Step 2: Convert to fraction form
    17,993.87/24,834.54 = 10,446.47/x
  3. Step 3: Cross multiply
    17,993.87x = 24,834.54 × 10,446.47
  4. Step 4: Simplify right side
    17,993.87x = 259,433,152.90
  5. Step 5: Solve for x
    x = 259,433,152.90/17,993.87
  6. Step 6: Final answer
    x = 14,417.87

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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.