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Finding the Fourth Proportional to 20,006.93, 29,980.70 and 8,146.19

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Solution

The fourth proportional to 20,006.93, 29,980.70 and 8,146.19 is: 12,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.93 : 29,980.70 = 8,146.19 : x
  2. Step 2: Convert to fraction form
    20,006.93/29,980.70 = 8,146.19/x
  3. Step 3: Cross multiply
    20,006.93x = 29,980.70 × 8,146.19
  4. Step 4: Simplify right side
    20,006.93x = 244,228,437.80
  5. Step 5: Solve for x
    x = 244,228,437.80/20,006.93
  6. Step 6: Final answer
    x = 12,207.19

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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.