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Finding the Fourth Proportional to 24,702.75, 34,089.80 and 13,524.75

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Solution

The fourth proportional to 24,702.75, 34,089.80 and 13,524.75 is: 18,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.75 : 34,089.80 = 13,524.75 : x
  2. Step 2: Convert to fraction form
    24,702.75/34,089.80 = 13,524.75/x
  3. Step 3: Cross multiply
    24,702.75x = 34,089.80 × 13,524.75
  4. Step 4: Simplify right side
    24,702.75x = 461,055,954.93
  5. Step 5: Solve for x
    x = 461,055,954.93/24,702.75
  6. Step 6: Final answer
    x = 18,664.16

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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.