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Finding the Fourth Proportional to 12,020.85, 18,006.78 and 9,807.57

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Solution

The fourth proportional to 12,020.85, 18,006.78 and 9,807.57 is: 14,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.85 : 18,006.78 = 9,807.57 : x
  2. Step 2: Convert to fraction form
    12,020.85/18,006.78 = 9,807.57/x
  3. Step 3: Cross multiply
    12,020.85x = 18,006.78 × 9,807.57
  4. Step 4: Simplify right side
    12,020.85x = 176,602,755.32
  5. Step 5: Solve for x
    x = 176,602,755.32/12,020.85
  6. Step 6: Final answer
    x = 14,691.37

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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.