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Finding the Fourth Proportional to 12,837.90, 17,706.82 and 8,117.62

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Solution

The fourth proportional to 12,837.90, 17,706.82 and 8,117.62 is: 11,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.90 : 17,706.82 = 8,117.62 : x
  2. Step 2: Convert to fraction form
    12,837.90/17,706.82 = 8,117.62/x
  3. Step 3: Cross multiply
    12,837.90x = 17,706.82 × 8,117.62
  4. Step 4: Simplify right side
    12,837.90x = 143,737,236.17
  5. Step 5: Solve for x
    x = 143,737,236.17/12,837.90
  6. Step 6: Final answer
    x = 11,196.32

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Why These Related Problems?

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