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Finding the Fourth Proportional to 16,308.60, 24,446.16 and 6,443.88

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Solution

The fourth proportional to 16,308.60, 24,446.16 and 6,443.88 is: 9,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.60 : 24,446.16 = 6,443.88 : x
  2. Step 2: Convert to fraction form
    16,308.60/24,446.16 = 6,443.88/x
  3. Step 3: Cross multiply
    16,308.60x = 24,446.16 × 6,443.88
  4. Step 4: Simplify right side
    16,308.60x = 157,528,121.50
  5. Step 5: Solve for x
    x = 157,528,121.50/16,308.60
  6. Step 6: Final answer
    x = 9,659.21

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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.