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Finding the Fourth Proportional to 20,801, 28,705.47 and 11,369.54

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Solution

The fourth proportional to 20,801, 28,705.47 and 11,369.54 is: 15,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801 : 28,705.47 = 11,369.54 : x
  2. Step 2: Convert to fraction form
    20,801/28,705.47 = 11,369.54/x
  3. Step 3: Cross multiply
    20,801x = 28,705.47 × 11,369.54
  4. Step 4: Simplify right side
    20,801x = 326,367,989.38
  5. Step 5: Solve for x
    x = 326,367,989.38/20,801
  6. Step 6: Final answer
    x = 15,690.01

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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.