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Finding the Fourth Proportional to 21,942.30, 32,905.35 and 7,151.70

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Solution

The fourth proportional to 21,942.30, 32,905.35 and 7,151.70 is: 10,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.30 : 32,905.35 = 7,151.70 : x
  2. Step 2: Convert to fraction form
    21,942.30/32,905.35 = 7,151.70/x
  3. Step 3: Cross multiply
    21,942.30x = 32,905.35 × 7,151.70
  4. Step 4: Simplify right side
    21,942.30x = 235,329,191.60
  5. Step 5: Solve for x
    x = 235,329,191.60/21,942.30
  6. Step 6: Final answer
    x = 10,724.91

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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.