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Finding the Fourth Proportional to 12,665.80, 18,998.70 and 9,385.30

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Solution

The fourth proportional to 12,665.80, 18,998.70 and 9,385.30 is: 14,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.80 : 18,998.70 = 9,385.30 : x
  2. Step 2: Convert to fraction form
    12,665.80/18,998.70 = 9,385.30/x
  3. Step 3: Cross multiply
    12,665.80x = 18,998.70 × 9,385.30
  4. Step 4: Simplify right side
    12,665.80x = 178,308,499.11
  5. Step 5: Solve for x
    x = 178,308,499.11/12,665.80
  6. Step 6: Final answer
    x = 14,077.95

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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.