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Finding the Fourth Proportional to 23,874.66, 32,947.02 and 13,264.20

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Solution

The fourth proportional to 23,874.66, 32,947.02 and 13,264.20 is: 18,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.66 : 32,947.02 = 13,264.20 : x
  2. Step 2: Convert to fraction form
    23,874.66/32,947.02 = 13,264.20/x
  3. Step 3: Cross multiply
    23,874.66x = 32,947.02 × 13,264.20
  4. Step 4: Simplify right side
    23,874.66x = 437,015,862.68
  5. Step 5: Solve for x
    x = 437,015,862.68/23,874.66
  6. Step 6: Final answer
    x = 18,304.59

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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.