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Finding the Fourth Proportional to 20,917.86, 31,381.48 and 7,066.50

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Solution

The fourth proportional to 20,917.86, 31,381.48 and 7,066.50 is: 10,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.86 : 31,381.48 = 7,066.50 : x
  2. Step 2: Convert to fraction form
    20,917.86/31,381.48 = 7,066.50/x
  3. Step 3: Cross multiply
    20,917.86x = 31,381.48 × 7,066.50
  4. Step 4: Simplify right side
    20,917.86x = 221,757,228.42
  5. Step 5: Solve for x
    x = 221,757,228.42/20,917.86
  6. Step 6: Final answer
    x = 10,601.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.