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Finding the Fourth Proportional to 12,843.23, 17,702.47 and 8,592.78

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Solution

The fourth proportional to 12,843.23, 17,702.47 and 8,592.78 is: 11,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.23 : 17,702.47 = 8,592.78 : x
  2. Step 2: Convert to fraction form
    12,843.23/17,702.47 = 8,592.78/x
  3. Step 3: Cross multiply
    12,843.23x = 17,702.47 × 8,592.78
  4. Step 4: Simplify right side
    12,843.23x = 152,113,531.46
  5. Step 5: Solve for x
    x = 152,113,531.46/12,843.23
  6. Step 6: Final answer
    x = 11,843.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.