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Finding the Fourth Proportional to 16,129.84, 24,204 and 6,267.84

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Solution

The fourth proportional to 16,129.84, 24,204 and 6,267.84 is: 9,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.84 : 24,204 = 6,267.84 : x
  2. Step 2: Convert to fraction form
    16,129.84/24,204 = 6,267.84/x
  3. Step 3: Cross multiply
    16,129.84x = 24,204 × 6,267.84
  4. Step 4: Simplify right side
    16,129.84x = 151,706,799.36
  5. Step 5: Solve for x
    x = 151,706,799.36/16,129.84
  6. Step 6: Final answer
    x = 9,405.35

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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.