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Finding the Fourth Proportional to 14,866.46, 22,297.17 and 6,969.86

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Solution

The fourth proportional to 14,866.46, 22,297.17 and 6,969.86 is: 10,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.46 : 22,297.17 = 6,969.86 : x
  2. Step 2: Convert to fraction form
    14,866.46/22,297.17 = 6,969.86/x
  3. Step 3: Cross multiply
    14,866.46x = 22,297.17 × 6,969.86
  4. Step 4: Simplify right side
    14,866.46x = 155,408,153.30
  5. Step 5: Solve for x
    x = 155,408,153.30/14,866.46
  6. Step 6: Final answer
    x = 10,453.61

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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.