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Finding the Fourth Proportional to 16,498, 24,754.20 and 6,106.96

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Solution

The fourth proportional to 16,498, 24,754.20 and 6,106.96 is: 9,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498 : 24,754.20 = 6,106.96 : x
  2. Step 2: Convert to fraction form
    16,498/24,754.20 = 6,106.96/x
  3. Step 3: Cross multiply
    16,498x = 24,754.20 × 6,106.96
  4. Step 4: Simplify right side
    16,498x = 151,172,909.23
  5. Step 5: Solve for x
    x = 151,172,909.23/16,498
  6. Step 6: Final answer
    x = 9,163.11

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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.