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Finding the Fourth Proportional to 13,006.46, 19,479.81 and 8,262.27

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Solution

The fourth proportional to 13,006.46, 19,479.81 and 8,262.27 is: 12,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.46 : 19,479.81 = 8,262.27 : x
  2. Step 2: Convert to fraction form
    13,006.46/19,479.81 = 8,262.27/x
  3. Step 3: Cross multiply
    13,006.46x = 19,479.81 × 8,262.27
  4. Step 4: Simplify right side
    13,006.46x = 160,947,369.52
  5. Step 5: Solve for x
    x = 160,947,369.52/13,006.46
  6. Step 6: Final answer
    x = 12,374.42

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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.