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Finding the Fourth Proportional to 23,134.77, 34,702.25 and 6,494.94

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Solution

The fourth proportional to 23,134.77, 34,702.25 and 6,494.94 is: 9,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.77 : 34,702.25 = 6,494.94 : x
  2. Step 2: Convert to fraction form
    23,134.77/34,702.25 = 6,494.94/x
  3. Step 3: Cross multiply
    23,134.77x = 34,702.25 × 6,494.94
  4. Step 4: Simplify right side
    23,134.77x = 225,388,999.14
  5. Step 5: Solve for x
    x = 225,388,999.14/23,134.77
  6. Step 6: Final answer
    x = 9,742.44

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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.