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Finding the Fourth Proportional to 12,385.99, 18,546.17 and 6,530.30

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Solution

The fourth proportional to 12,385.99, 18,546.17 and 6,530.30 is: 9,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.99 : 18,546.17 = 6,530.30 : x
  2. Step 2: Convert to fraction form
    12,385.99/18,546.17 = 6,530.30/x
  3. Step 3: Cross multiply
    12,385.99x = 18,546.17 × 6,530.30
  4. Step 4: Simplify right side
    12,385.99x = 121,112,053.95
  5. Step 5: Solve for x
    x = 121,112,053.95/12,385.99
  6. Step 6: Final answer
    x = 9,778.15

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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.