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Finding the Fourth Proportional to 23,822.46, 35,737.10 and 7,808.57

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Solution

The fourth proportional to 23,822.46, 35,737.10 and 7,808.57 is: 11,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.46 : 35,737.10 = 7,808.57 : x
  2. Step 2: Convert to fraction form
    23,822.46/35,737.10 = 7,808.57/x
  3. Step 3: Cross multiply
    23,822.46x = 35,737.10 × 7,808.57
  4. Step 4: Simplify right side
    23,822.46x = 279,055,429.22
  5. Step 5: Solve for x
    x = 279,055,429.22/23,822.46
  6. Step 6: Final answer
    x = 11,713.96

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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.