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Finding the Fourth Proportional to 20,834.42, 31,254.26 and 7,695.95

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Solution

The fourth proportional to 20,834.42, 31,254.26 and 7,695.95 is: 11,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.42 : 31,254.26 = 7,695.95 : x
  2. Step 2: Convert to fraction form
    20,834.42/31,254.26 = 7,695.95/x
  3. Step 3: Cross multiply
    20,834.42x = 31,254.26 × 7,695.95
  4. Step 4: Simplify right side
    20,834.42x = 240,531,027.50
  5. Step 5: Solve for x
    x = 240,531,027.50/20,834.42
  6. Step 6: Final answer
    x = 11,544.89

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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.