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Finding the Fourth Proportional to 23,643.84, 32,628.49 and 13,033.65

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Solution

The fourth proportional to 23,643.84, 32,628.49 and 13,033.65 is: 17,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.84 : 32,628.49 = 13,033.65 : x
  2. Step 2: Convert to fraction form
    23,643.84/32,628.49 = 13,033.65/x
  3. Step 3: Cross multiply
    23,643.84x = 32,628.49 × 13,033.65
  4. Step 4: Simplify right side
    23,643.84x = 425,268,286.10
  5. Step 5: Solve for x
    x = 425,268,286.10/23,643.84
  6. Step 6: Final answer
    x = 17,986.43

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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.