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Finding the Fourth Proportional to 23,223.12, 34,823.88 and 8,431.44

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Solution

The fourth proportional to 23,223.12, 34,823.88 and 8,431.44 is: 12,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.12 : 34,823.88 = 8,431.44 : x
  2. Step 2: Convert to fraction form
    23,223.12/34,823.88 = 8,431.44/x
  3. Step 3: Cross multiply
    23,223.12x = 34,823.88 × 8,431.44
  4. Step 4: Simplify right side
    23,223.12x = 293,615,454.79
  5. Step 5: Solve for x
    x = 293,615,454.79/23,223.12
  6. Step 6: Final answer
    x = 12,643.24

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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.