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Finding the Fourth Proportional to 17,922.94, 24,733.52 and 9,965.10

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Solution

The fourth proportional to 17,922.94, 24,733.52 and 9,965.10 is: 13,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.94 : 24,733.52 = 9,965.10 : x
  2. Step 2: Convert to fraction form
    17,922.94/24,733.52 = 9,965.10/x
  3. Step 3: Cross multiply
    17,922.94x = 24,733.52 × 9,965.10
  4. Step 4: Simplify right side
    17,922.94x = 246,471,876.48
  5. Step 5: Solve for x
    x = 246,471,876.48/17,922.94
  6. Step 6: Final answer
    x = 13,751.75

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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.