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Finding the Fourth Proportional to 30,774.20, 42,468.18 and 18,198.68

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Solution

The fourth proportional to 30,774.20, 42,468.18 and 18,198.68 is: 25,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.20 : 42,468.18 = 18,198.68 : x
  2. Step 2: Convert to fraction form
    30,774.20/42,468.18 = 18,198.68/x
  3. Step 3: Cross multiply
    30,774.20x = 42,468.18 × 18,198.68
  4. Step 4: Simplify right side
    30,774.20x = 772,864,818.00
  5. Step 5: Solve for x
    x = 772,864,818.00/30,774.20
  6. Step 6: Final answer
    x = 25,114.05

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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.