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Finding the Fourth Proportional to 22,337, 33,502.80 and 7,343.36

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Solution

The fourth proportional to 22,337, 33,502.80 and 7,343.36 is: 11,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337 : 33,502.80 = 7,343.36 : x
  2. Step 2: Convert to fraction form
    22,337/33,502.80 = 7,343.36/x
  3. Step 3: Cross multiply
    22,337x = 33,502.80 × 7,343.36
  4. Step 4: Simplify right side
    22,337x = 246,023,121.41
  5. Step 5: Solve for x
    x = 246,023,121.41/22,337
  6. Step 6: Final answer
    x = 11,014.15

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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.