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Finding the Fourth Proportional to 12,677.78, 17,492.37 and 7,640.66

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Solution

The fourth proportional to 12,677.78, 17,492.37 and 7,640.66 is: 10,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.78 : 17,492.37 = 7,640.66 : x
  2. Step 2: Convert to fraction form
    12,677.78/17,492.37 = 7,640.66/x
  3. Step 3: Cross multiply
    12,677.78x = 17,492.37 × 7,640.66
  4. Step 4: Simplify right side
    12,677.78x = 133,653,251.76
  5. Step 5: Solve for x
    x = 133,653,251.76/12,677.78
  6. Step 6: Final answer
    x = 10,542.32

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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.