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Finding the Fourth Proportional to 23,862.64, 35,794.38 and 7,222.84

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Solution

The fourth proportional to 23,862.64, 35,794.38 and 7,222.84 is: 10,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.64 : 35,794.38 = 7,222.84 : x
  2. Step 2: Convert to fraction form
    23,862.64/35,794.38 = 7,222.84/x
  3. Step 3: Cross multiply
    23,862.64x = 35,794.38 × 7,222.84
  4. Step 4: Simplify right side
    23,862.64x = 258,537,079.64
  5. Step 5: Solve for x
    x = 258,537,079.64/23,862.64
  6. Step 6: Final answer
    x = 10,834.39

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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.