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Finding the Fourth Proportional to 13,243.76, 18,276.72 and 7,276

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Solution

The fourth proportional to 13,243.76, 18,276.72 and 7,276 is: 10,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.76 : 18,276.72 = 7,276 : x
  2. Step 2: Convert to fraction form
    13,243.76/18,276.72 = 7,276/x
  3. Step 3: Cross multiply
    13,243.76x = 18,276.72 × 7,276
  4. Step 4: Simplify right side
    13,243.76x = 132,981,414.72
  5. Step 5: Solve for x
    x = 132,981,414.72/13,243.76
  6. Step 6: Final answer
    x = 10,041.06

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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.