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Finding the Fourth Proportional to 16,638.01, 24,955.31 and 5,543.50

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Solution

The fourth proportional to 16,638.01, 24,955.31 and 5,543.50 is: 8,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.01 : 24,955.31 = 5,543.50 : x
  2. Step 2: Convert to fraction form
    16,638.01/24,955.31 = 5,543.50/x
  3. Step 3: Cross multiply
    16,638.01x = 24,955.31 × 5,543.50
  4. Step 4: Simplify right side
    16,638.01x = 138,339,733.27
  5. Step 5: Solve for x
    x = 138,339,733.27/16,638.01
  6. Step 6: Final answer
    x = 8,314.68

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Why These Related Problems?

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