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Finding the Fourth Proportional to 22,970.50, 34,468.71 and 10,658.50

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Solution

The fourth proportional to 22,970.50, 34,468.71 and 10,658.50 is: 15,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.50 : 34,468.71 = 10,658.50 : x
  2. Step 2: Convert to fraction form
    22,970.50/34,468.71 = 10,658.50/x
  3. Step 3: Cross multiply
    22,970.50x = 34,468.71 × 10,658.50
  4. Step 4: Simplify right side
    22,970.50x = 367,384,745.54
  5. Step 5: Solve for x
    x = 367,384,745.54/22,970.50
  6. Step 6: Final answer
    x = 15,993.76

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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.