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Finding the Fourth Proportional to 18,575.75, 27,868.23 and 9,220.16

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Solution

The fourth proportional to 18,575.75, 27,868.23 and 9,220.16 is: 13,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575.75 : 27,868.23 = 9,220.16 : x
  2. Step 2: Convert to fraction form
    18,575.75/27,868.23 = 9,220.16/x
  3. Step 3: Cross multiply
    18,575.75x = 27,868.23 × 9,220.16
  4. Step 4: Simplify right side
    18,575.75x = 256,949,400.18
  5. Step 5: Solve for x
    x = 256,949,400.18/18,575.75
  6. Step 6: Final answer
    x = 13,832.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.