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Finding the Fourth Proportional to 23,133.61, 34,702.44 and 6,493.78

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Solution

The fourth proportional to 23,133.61, 34,702.44 and 6,493.78 is: 9,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.61 : 34,702.44 = 6,493.78 : x
  2. Step 2: Convert to fraction form
    23,133.61/34,702.44 = 6,493.78/x
  3. Step 3: Cross multiply
    23,133.61x = 34,702.44 × 6,493.78
  4. Step 4: Simplify right side
    23,133.61x = 225,350,010.82
  5. Step 5: Solve for x
    x = 225,350,010.82/23,133.61
  6. Step 6: Final answer
    x = 9,741.24

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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.