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Finding the Fourth Proportional to 13,238.75, 18,269.16 and 7,270.40

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Solution

The fourth proportional to 13,238.75, 18,269.16 and 7,270.40 is: 10,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.75 : 18,269.16 = 7,270.40 : x
  2. Step 2: Convert to fraction form
    13,238.75/18,269.16 = 7,270.40/x
  3. Step 3: Cross multiply
    13,238.75x = 18,269.16 × 7,270.40
  4. Step 4: Simplify right side
    13,238.75x = 132,824,100.86
  5. Step 5: Solve for x
    x = 132,824,100.86/13,238.75
  6. Step 6: Final answer
    x = 10,032.98

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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.