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Finding the Fourth Proportional to 30,385.13, 45,574.25 and 8,197.20

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Solution

The fourth proportional to 30,385.13, 45,574.25 and 8,197.20 is: 12,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.13 : 45,574.25 = 8,197.20 : x
  2. Step 2: Convert to fraction form
    30,385.13/45,574.25 = 8,197.20/x
  3. Step 3: Cross multiply
    30,385.13x = 45,574.25 × 8,197.20
  4. Step 4: Simplify right side
    30,385.13x = 373,581,201.11
  5. Step 5: Solve for x
    x = 373,581,201.11/30,385.13
  6. Step 6: Final answer
    x = 12,294.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.