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Finding the Fourth Proportional to 16,219.72, 24,340.41 and 5,689.74

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Solution

The fourth proportional to 16,219.72, 24,340.41 and 5,689.74 is: 8,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.72 : 24,340.41 = 5,689.74 : x
  2. Step 2: Convert to fraction form
    16,219.72/24,340.41 = 5,689.74/x
  3. Step 3: Cross multiply
    16,219.72x = 24,340.41 × 5,689.74
  4. Step 4: Simplify right side
    16,219.72x = 138,490,604.39
  5. Step 5: Solve for x
    x = 138,490,604.39/16,219.72
  6. Step 6: Final answer
    x = 8,538.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.