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Finding the Fourth Proportional to 23,758.32, 35,634.74 and 6,229.54

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Solution

The fourth proportional to 23,758.32, 35,634.74 and 6,229.54 is: 9,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.32 : 35,634.74 = 6,229.54 : x
  2. Step 2: Convert to fraction form
    23,758.32/35,634.74 = 6,229.54/x
  3. Step 3: Cross multiply
    23,758.32x = 35,634.74 × 6,229.54
  4. Step 4: Simplify right side
    23,758.32x = 221,988,038.22
  5. Step 5: Solve for x
    x = 221,988,038.22/23,758.32
  6. Step 6: Final answer
    x = 9,343.59

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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.