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Finding the Fourth Proportional to 20,900.72, 31,354.02 and 6,110.78

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Solution

The fourth proportional to 20,900.72, 31,354.02 and 6,110.78 is: 9,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.72 : 31,354.02 = 6,110.78 : x
  2. Step 2: Convert to fraction form
    20,900.72/31,354.02 = 6,110.78/x
  3. Step 3: Cross multiply
    20,900.72x = 31,354.02 × 6,110.78
  4. Step 4: Simplify right side
    20,900.72x = 191,597,518.34
  5. Step 5: Solve for x
    x = 191,597,518.34/20,900.72
  6. Step 6: Final answer
    x = 9,167.03

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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.