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Finding the Fourth Proportional to 14,714.32, 20,308.98 and 9,679.04

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Solution

The fourth proportional to 14,714.32, 20,308.98 and 9,679.04 is: 13,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.32 : 20,308.98 = 9,679.04 : x
  2. Step 2: Convert to fraction form
    14,714.32/20,308.98 = 9,679.04/x
  3. Step 3: Cross multiply
    14,714.32x = 20,308.98 × 9,679.04
  4. Step 4: Simplify right side
    14,714.32x = 196,571,390.38
  5. Step 5: Solve for x
    x = 196,571,390.38/14,714.32
  6. Step 6: Final answer
    x = 13,359.19

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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.