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Finding the Fourth Proportional to 23,709.97, 32,716.97 and 13,098.97

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Solution

The fourth proportional to 23,709.97, 32,716.97 and 13,098.97 is: 18,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.97 : 32,716.97 = 13,098.97 : x
  2. Step 2: Convert to fraction form
    23,709.97/32,716.97 = 13,098.97/x
  3. Step 3: Cross multiply
    23,709.97x = 32,716.97 × 13,098.97
  4. Step 4: Simplify right side
    23,709.97x = 428,558,608.52
  5. Step 5: Solve for x
    x = 428,558,608.52/23,709.97
  6. Step 6: Final answer
    x = 18,075.04

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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.