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Finding the Fourth Proportional to 23,187.36, 34,773.12 and 7,601.40

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Solution

The fourth proportional to 23,187.36, 34,773.12 and 7,601.40 is: 11,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.36 : 34,773.12 = 7,601.40 : x
  2. Step 2: Convert to fraction form
    23,187.36/34,773.12 = 7,601.40/x
  3. Step 3: Cross multiply
    23,187.36x = 34,773.12 × 7,601.40
  4. Step 4: Simplify right side
    23,187.36x = 264,324,394.37
  5. Step 5: Solve for x
    x = 264,324,394.37/23,187.36
  6. Step 6: Final answer
    x = 11,399.50

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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.