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Finding the Fourth Proportional to 12,153.34, 18,223.05 and 7,226.42

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Solution

The fourth proportional to 12,153.34, 18,223.05 and 7,226.42 is: 10,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.34 : 18,223.05 = 7,226.42 : x
  2. Step 2: Convert to fraction form
    12,153.34/18,223.05 = 7,226.42/x
  3. Step 3: Cross multiply
    12,153.34x = 18,223.05 × 7,226.42
  4. Step 4: Simplify right side
    12,153.34x = 131,687,412.98
  5. Step 5: Solve for x
    x = 131,687,412.98/12,153.34
  6. Step 6: Final answer
    x = 10,835.50

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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.