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Finding the Fourth Proportional to 23,616.09, 35,427.78 and 8,032.50

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Solution

The fourth proportional to 23,616.09, 35,427.78 and 8,032.50 is: 12,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.09 : 35,427.78 = 8,032.50 : x
  2. Step 2: Convert to fraction form
    23,616.09/35,427.78 = 8,032.50/x
  3. Step 3: Cross multiply
    23,616.09x = 35,427.78 × 8,032.50
  4. Step 4: Simplify right side
    23,616.09x = 284,573,642.85
  5. Step 5: Solve for x
    x = 284,573,642.85/23,616.09
  6. Step 6: Final answer
    x = 12,049.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.