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Finding the Fourth Proportional to 23,644.26, 32,631.03 and 13,574.65

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Solution

The fourth proportional to 23,644.26, 32,631.03 and 13,574.65 is: 18,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.26 : 32,631.03 = 13,574.65 : x
  2. Step 2: Convert to fraction form
    23,644.26/32,631.03 = 13,574.65/x
  3. Step 3: Cross multiply
    23,644.26x = 32,631.03 × 13,574.65
  4. Step 4: Simplify right side
    23,644.26x = 442,954,648.23
  5. Step 5: Solve for x
    x = 442,954,648.23/23,644.26
  6. Step 6: Final answer
    x = 18,734.13

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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.