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Finding the Fourth Proportional to 23,843.68, 32,904 and 13,233.12

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Solution

The fourth proportional to 23,843.68, 32,904 and 13,233.12 is: 18,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.68 : 32,904 = 13,233.12 : x
  2. Step 2: Convert to fraction form
    23,843.68/32,904 = 13,233.12/x
  3. Step 3: Cross multiply
    23,843.68x = 32,904 × 13,233.12
  4. Step 4: Simplify right side
    23,843.68x = 435,422,580.48
  5. Step 5: Solve for x
    x = 435,422,580.48/23,843.68
  6. Step 6: Final answer
    x = 18,261.55

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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.