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Finding the Fourth Proportional to 13,237.76, 18,268.24 and 7,269.28

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Solution

The fourth proportional to 13,237.76, 18,268.24 and 7,269.28 is: 10,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.76 : 18,268.24 = 7,269.28 : x
  2. Step 2: Convert to fraction form
    13,237.76/18,268.24 = 7,269.28/x
  3. Step 3: Cross multiply
    13,237.76x = 18,268.24 × 7,269.28
  4. Step 4: Simplify right side
    13,237.76x = 132,796,951.67
  5. Step 5: Solve for x
    x = 132,796,951.67/13,237.76
  6. Step 6: Final answer
    x = 10,031.68

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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.