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Finding the Fourth Proportional to 19,780.78, 29,687.38 and 8,094.10

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Solution

The fourth proportional to 19,780.78, 29,687.38 and 8,094.10 is: 12,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.78 : 29,687.38 = 8,094.10 : x
  2. Step 2: Convert to fraction form
    19,780.78/29,687.38 = 8,094.10/x
  3. Step 3: Cross multiply
    19,780.78x = 29,687.38 × 8,094.10
  4. Step 4: Simplify right side
    19,780.78x = 240,292,622.46
  5. Step 5: Solve for x
    x = 240,292,622.46/19,780.78
  6. Step 6: Final answer
    x = 12,147.78

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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.