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Finding the Fourth Proportional to 24,702.70, 34,089.71 and 13,524.70

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Solution

The fourth proportional to 24,702.70, 34,089.71 and 13,524.70 is: 18,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.70 : 34,089.71 = 13,524.70 : x
  2. Step 2: Convert to fraction form
    24,702.70/34,089.71 = 13,524.70/x
  3. Step 3: Cross multiply
    24,702.70x = 34,089.71 × 13,524.70
  4. Step 4: Simplify right side
    24,702.70x = 461,052,862.76
  5. Step 5: Solve for x
    x = 461,052,862.76/24,702.70
  6. Step 6: Final answer
    x = 18,664.07

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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.