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Finding the Fourth Proportional to 13,223.18, 18,248.82 and 7,255.46

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Solution

The fourth proportional to 13,223.18, 18,248.82 and 7,255.46 is: 10,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.18 : 18,248.82 = 7,255.46 : x
  2. Step 2: Convert to fraction form
    13,223.18/18,248.82 = 7,255.46/x
  3. Step 3: Cross multiply
    13,223.18x = 18,248.82 × 7,255.46
  4. Step 4: Simplify right side
    13,223.18x = 132,403,583.56
  5. Step 5: Solve for x
    x = 132,403,583.56/13,223.18
  6. Step 6: Final answer
    x = 10,012.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.