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Finding the Fourth Proportional to 24,832.50, 34,298.10 and 16,434.42

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Solution

The fourth proportional to 24,832.50, 34,298.10 and 16,434.42 is: 22,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.50 : 34,298.10 = 16,434.42 : x
  2. Step 2: Convert to fraction form
    24,832.50/34,298.10 = 16,434.42/x
  3. Step 3: Cross multiply
    24,832.50x = 34,298.10 × 16,434.42
  4. Step 4: Simplify right side
    24,832.50x = 563,669,380.60
  5. Step 5: Solve for x
    x = 563,669,380.60/24,832.50
  6. Step 6: Final answer
    x = 22,698.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.