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Finding the Fourth Proportional to 23,737.14, 35,605.38 and 7,097.30

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Solution

The fourth proportional to 23,737.14, 35,605.38 and 7,097.30 is: 10,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.14 : 35,605.38 = 7,097.30 : x
  2. Step 2: Convert to fraction form
    23,737.14/35,605.38 = 7,097.30/x
  3. Step 3: Cross multiply
    23,737.14x = 35,605.38 × 7,097.30
  4. Step 4: Simplify right side
    23,737.14x = 252,702,063.47
  5. Step 5: Solve for x
    x = 252,702,063.47/23,737.14
  6. Step 6: Final answer
    x = 10,645.85

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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.