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Finding the Fourth Proportional to 14,719.32, 20,308.16 and 8,344.89

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Solution

The fourth proportional to 14,719.32, 20,308.16 and 8,344.89 is: 11,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.32 : 20,308.16 = 8,344.89 : x
  2. Step 2: Convert to fraction form
    14,719.32/20,308.16 = 8,344.89/x
  3. Step 3: Cross multiply
    14,719.32x = 20,308.16 × 8,344.89
  4. Step 4: Simplify right side
    14,719.32x = 169,469,319.58
  5. Step 5: Solve for x
    x = 169,469,319.58/14,719.32
  6. Step 6: Final answer
    x = 11,513.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.