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Finding the Fourth Proportional to 12,130.56, 18,223.20 and 7,203.42

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Solution

The fourth proportional to 12,130.56, 18,223.20 and 7,203.42 is: 10,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.56 : 18,223.20 = 7,203.42 : x
  2. Step 2: Convert to fraction form
    12,130.56/18,223.20 = 7,203.42/x
  3. Step 3: Cross multiply
    12,130.56x = 18,223.20 × 7,203.42
  4. Step 4: Simplify right side
    12,130.56x = 131,269,363.34
  5. Step 5: Solve for x
    x = 131,269,363.34/12,130.56
  6. Step 6: Final answer
    x = 10,821.38

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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.