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Finding the Fourth Proportional to 30,918.24, 42,666.03 and 16,770.78

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Solution

The fourth proportional to 30,918.24, 42,666.03 and 16,770.78 is: 23,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918.24 : 42,666.03 = 16,770.78 : x
  2. Step 2: Convert to fraction form
    30,918.24/42,666.03 = 16,770.78/x
  3. Step 3: Cross multiply
    30,918.24x = 42,666.03 × 16,770.78
  4. Step 4: Simplify right side
    30,918.24x = 715,542,602.60
  5. Step 5: Solve for x
    x = 715,542,602.60/30,918.24
  6. Step 6: Final answer
    x = 23,143.06

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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.