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Finding the Fourth Proportional to 16,537.42, 24,806.94 and 6,675.47

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Solution

The fourth proportional to 16,537.42, 24,806.94 and 6,675.47 is: 10,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.42 : 24,806.94 = 6,675.47 : x
  2. Step 2: Convert to fraction form
    16,537.42/24,806.94 = 6,675.47/x
  3. Step 3: Cross multiply
    16,537.42x = 24,806.94 × 6,675.47
  4. Step 4: Simplify right side
    16,537.42x = 165,597,983.76
  5. Step 5: Solve for x
    x = 165,597,983.76/16,537.42
  6. Step 6: Final answer
    x = 10,013.53

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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.