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Finding the Fourth Proportional to 14,992.30, 20,682.03 and 9,691.66

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Solution

The fourth proportional to 14,992.30, 20,682.03 and 9,691.66 is: 13,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.30 : 20,682.03 = 9,691.66 : x
  2. Step 2: Convert to fraction form
    14,992.30/20,682.03 = 9,691.66/x
  3. Step 3: Cross multiply
    14,992.30x = 20,682.03 × 9,691.66
  4. Step 4: Simplify right side
    14,992.30x = 200,443,202.87
  5. Step 5: Solve for x
    x = 200,443,202.87/14,992.30
  6. Step 6: Final answer
    x = 13,369.74

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1.5x scale

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.