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Finding the Fourth Proportional to 14,717.08, 20,308.89 and 8,002.18

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Solution

The fourth proportional to 14,717.08, 20,308.89 and 8,002.18 is: 11,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.08 : 20,308.89 = 8,002.18 : x
  2. Step 2: Convert to fraction form
    14,717.08/20,308.89 = 8,002.18/x
  3. Step 3: Cross multiply
    14,717.08x = 20,308.89 × 8,002.18
  4. Step 4: Simplify right side
    14,717.08x = 162,515,393.38
  5. Step 5: Solve for x
    x = 162,515,393.38/14,717.08
  6. Step 6: Final answer
    x = 11,042.64

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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.