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Finding the Fourth Proportional to 22,758.09, 34,137.10 and 6,342.09

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Solution

The fourth proportional to 22,758.09, 34,137.10 and 6,342.09 is: 9,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.09 : 34,137.10 = 6,342.09 : x
  2. Step 2: Convert to fraction form
    22,758.09/34,137.10 = 6,342.09/x
  3. Step 3: Cross multiply
    22,758.09x = 34,137.10 × 6,342.09
  4. Step 4: Simplify right side
    22,758.09x = 216,500,560.54
  5. Step 5: Solve for x
    x = 216,500,560.54/22,758.09
  6. Step 6: Final answer
    x = 9,513.13

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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.