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Finding the Fourth Proportional to 14,814, 22,231.92 and 7,022.82

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Solution

The fourth proportional to 14,814, 22,231.92 and 7,022.82 is: 10,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 22,231.92 = 7,022.82 : x
  2. Step 2: Convert to fraction form
    14,814/22,231.92 = 7,022.82/x
  3. Step 3: Cross multiply
    14,814x = 22,231.92 × 7,022.82
  4. Step 4: Simplify right side
    14,814x = 156,130,772.41
  5. Step 5: Solve for x
    x = 156,130,772.41/14,814
  6. Step 6: Final answer
    x = 10,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.