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Finding the Fourth Proportional to 22,758.47, 34,137.70 and 7,176.09

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Solution

The fourth proportional to 22,758.47, 34,137.70 and 7,176.09 is: 10,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.47 : 34,137.70 = 7,176.09 : x
  2. Step 2: Convert to fraction form
    22,758.47/34,137.70 = 7,176.09/x
  3. Step 3: Cross multiply
    22,758.47x = 34,137.70 × 7,176.09
  4. Step 4: Simplify right side
    22,758.47x = 244,975,358.03
  5. Step 5: Solve for x
    x = 244,975,358.03/22,758.47
  6. Step 6: Final answer
    x = 10,764.14

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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.