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Finding the Fourth Proportional to 23,133.74, 34,702.56 and 9,092.66

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Solution

The fourth proportional to 23,133.74, 34,702.56 and 9,092.66 is: 13,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.74 : 34,702.56 = 9,092.66 : x
  2. Step 2: Convert to fraction form
    23,133.74/34,702.56 = 9,092.66/x
  3. Step 3: Cross multiply
    23,133.74x = 34,702.56 × 9,092.66
  4. Step 4: Simplify right side
    23,133.74x = 315,538,405.70
  5. Step 5: Solve for x
    x = 315,538,405.70/23,133.74
  6. Step 6: Final answer
    x = 13,639.75

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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.