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Finding the Fourth Proportional to 16,209.68, 24,296.70 and 6,347.12

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Solution

The fourth proportional to 16,209.68, 24,296.70 and 6,347.12 is: 9,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.68 : 24,296.70 = 6,347.12 : x
  2. Step 2: Convert to fraction form
    16,209.68/24,296.70 = 6,347.12/x
  3. Step 3: Cross multiply
    16,209.68x = 24,296.70 × 6,347.12
  4. Step 4: Simplify right side
    16,209.68x = 154,214,070.50
  5. Step 5: Solve for x
    x = 154,214,070.50/16,209.68
  6. Step 6: Final answer
    x = 9,513.70

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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.