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Finding the Fourth Proportional to 23,076.81, 34,616.88 and 8,285.85

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Solution

The fourth proportional to 23,076.81, 34,616.88 and 8,285.85 is: 12,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.81 : 34,616.88 = 8,285.85 : x
  2. Step 2: Convert to fraction form
    23,076.81/34,616.88 = 8,285.85/x
  3. Step 3: Cross multiply
    23,076.81x = 34,616.88 × 8,285.85
  4. Step 4: Simplify right side
    23,076.81x = 286,830,275.15
  5. Step 5: Solve for x
    x = 286,830,275.15/23,076.81
  6. Step 6: Final answer
    x = 12,429.37

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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.