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Finding the Fourth Proportional to 20,853.57, 31,276.02 and 7,696.95

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Solution

The fourth proportional to 20,853.57, 31,276.02 and 7,696.95 is: 11,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.57 : 31,276.02 = 7,696.95 : x
  2. Step 2: Convert to fraction form
    20,853.57/31,276.02 = 7,696.95/x
  3. Step 3: Cross multiply
    20,853.57x = 31,276.02 × 7,696.95
  4. Step 4: Simplify right side
    20,853.57x = 240,729,962.14
  5. Step 5: Solve for x
    x = 240,729,962.14/20,853.57
  6. Step 6: Final answer
    x = 11,543.82

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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.