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Finding the Fourth Proportional to 30,776.68, 42,497.76 and 18,843.85

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Solution

The fourth proportional to 30,776.68, 42,497.76 and 18,843.85 is: 26,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.68 : 42,497.76 = 18,843.85 : x
  2. Step 2: Convert to fraction form
    30,776.68/42,497.76 = 18,843.85/x
  3. Step 3: Cross multiply
    30,776.68x = 42,497.76 × 18,843.85
  4. Step 4: Simplify right side
    30,776.68x = 800,821,414.78
  5. Step 5: Solve for x
    x = 800,821,414.78/30,776.68
  6. Step 6: Final answer
    x = 26,020.40

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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.