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Finding the Fourth Proportional to 23,862, 32,954.06 and 17,884.20

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Solution

The fourth proportional to 23,862, 32,954.06 and 17,884.20 is: 24,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862 : 32,954.06 = 17,884.20 : x
  2. Step 2: Convert to fraction form
    23,862/32,954.06 = 17,884.20/x
  3. Step 3: Cross multiply
    23,862x = 32,954.06 × 17,884.20
  4. Step 4: Simplify right side
    23,862x = 589,356,999.85
  5. Step 5: Solve for x
    x = 589,356,999.85/23,862
  6. Step 6: Final answer
    x = 24,698.56

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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.