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Finding the Fourth Proportional to 23,888.16, 35,825.52 and 8,305.44

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Solution

The fourth proportional to 23,888.16, 35,825.52 and 8,305.44 is: 12,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.16 : 35,825.52 = 8,305.44 : x
  2. Step 2: Convert to fraction form
    23,888.16/35,825.52 = 8,305.44/x
  3. Step 3: Cross multiply
    23,888.16x = 35,825.52 × 8,305.44
  4. Step 4: Simplify right side
    23,888.16x = 297,546,706.83
  5. Step 5: Solve for x
    x = 297,546,706.83/23,888.16
  6. Step 6: Final answer
    x = 12,455.82

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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.