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Finding the Fourth Proportional to 24,373, 33,634.75 and 13,195

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Solution

The fourth proportional to 24,373, 33,634.75 and 13,195 is: 18,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373 : 33,634.75 = 13,195 : x
  2. Step 2: Convert to fraction form
    24,373/33,634.75 = 13,195/x
  3. Step 3: Cross multiply
    24,373x = 33,634.75 × 13,195
  4. Step 4: Simplify right side
    24,373x = 443,810,526.25
  5. Step 5: Solve for x
    x = 443,810,526.25/24,373
  6. Step 6: Final answer
    x = 18,209.11

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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.