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Finding the Fourth Proportional to 20,893.78, 28,832.65 and 11,462.14

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Solution

The fourth proportional to 20,893.78, 28,832.65 and 11,462.14 is: 15,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.78 : 28,832.65 = 11,462.14 : x
  2. Step 2: Convert to fraction form
    20,893.78/28,832.65 = 11,462.14/x
  3. Step 3: Cross multiply
    20,893.78x = 28,832.65 × 11,462.14
  4. Step 4: Simplify right side
    20,893.78x = 330,483,870.87
  5. Step 5: Solve for x
    x = 330,483,870.87/20,893.78
  6. Step 6: Final answer
    x = 15,817.33

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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.