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Finding the Fourth Proportional to 24,784.92, 34,191.18 and 16,408.44

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Solution

The fourth proportional to 24,784.92, 34,191.18 and 16,408.44 is: 22,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.92 : 34,191.18 = 16,408.44 : x
  2. Step 2: Convert to fraction form
    24,784.92/34,191.18 = 16,408.44/x
  3. Step 3: Cross multiply
    24,784.92x = 34,191.18 × 16,408.44
  4. Step 4: Simplify right side
    24,784.92x = 561,023,925.56
  5. Step 5: Solve for x
    x = 561,023,925.56/24,784.92
  6. Step 6: Final answer
    x = 22,635.70

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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.