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Finding the Fourth Proportional to 20,758.77, 31,108.95 and 9,047.43

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Solution

The fourth proportional to 20,758.77, 31,108.95 and 9,047.43 is: 13,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.77 : 31,108.95 = 9,047.43 : x
  2. Step 2: Convert to fraction form
    20,758.77/31,108.95 = 9,047.43/x
  3. Step 3: Cross multiply
    20,758.77x = 31,108.95 × 9,047.43
  4. Step 4: Simplify right side
    20,758.77x = 281,456,047.50
  5. Step 5: Solve for x
    x = 281,456,047.50/20,758.77
  6. Step 6: Final answer
    x = 13,558.42

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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.