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Finding the Fourth Proportional to 13,238.34, 18,269.13 and 7,269.94

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Solution

The fourth proportional to 13,238.34, 18,269.13 and 7,269.94 is: 10,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.34 : 18,269.13 = 7,269.94 : x
  2. Step 2: Convert to fraction form
    13,238.34/18,269.13 = 7,269.94/x
  3. Step 3: Cross multiply
    13,238.34x = 18,269.13 × 7,269.94
  4. Step 4: Simplify right side
    13,238.34x = 132,815,478.95
  5. Step 5: Solve for x
    x = 132,815,478.95/13,238.34
  6. Step 6: Final answer
    x = 10,032.64

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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.