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Finding the Fourth Proportional to 30,877.80, 42,618.36 and 17,456.82

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Solution

The fourth proportional to 30,877.80, 42,618.36 and 17,456.82 is: 24,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.80 : 42,618.36 = 17,456.82 : x
  2. Step 2: Convert to fraction form
    30,877.80/42,618.36 = 17,456.82/x
  3. Step 3: Cross multiply
    30,877.80x = 42,618.36 × 17,456.82
  4. Step 4: Simplify right side
    30,877.80x = 743,981,039.22
  5. Step 5: Solve for x
    x = 743,981,039.22/30,877.80
  6. Step 6: Final answer
    x = 24,094.37

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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.