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Finding the Fourth Proportional to 12,834.90, 19,231.65 and 7,271.70

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Solution

The fourth proportional to 12,834.90, 19,231.65 and 7,271.70 is: 10,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.90 : 19,231.65 = 7,271.70 : x
  2. Step 2: Convert to fraction form
    12,834.90/19,231.65 = 7,271.70/x
  3. Step 3: Cross multiply
    12,834.90x = 19,231.65 × 7,271.70
  4. Step 4: Simplify right side
    12,834.90x = 139,846,789.31
  5. Step 5: Solve for x
    x = 139,846,789.31/12,834.90
  6. Step 6: Final answer
    x = 10,895.82

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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.