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Finding the Fourth Proportional to 24,821.78, 34,254.02 and 14,211.40

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Solution

The fourth proportional to 24,821.78, 34,254.02 and 14,211.40 is: 19,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.78 : 34,254.02 = 14,211.40 : x
  2. Step 2: Convert to fraction form
    24,821.78/34,254.02 = 14,211.40/x
  3. Step 3: Cross multiply
    24,821.78x = 34,254.02 × 14,211.40
  4. Step 4: Simplify right side
    24,821.78x = 486,797,579.83
  5. Step 5: Solve for x
    x = 486,797,579.83/24,821.78
  6. Step 6: Final answer
    x = 19,611.71

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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.