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Finding the Fourth Proportional to 13,227.84, 18,253.26 and 7,561.46

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Solution

The fourth proportional to 13,227.84, 18,253.26 and 7,561.46 is: 10,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.84 : 18,253.26 = 7,561.46 : x
  2. Step 2: Convert to fraction form
    13,227.84/18,253.26 = 7,561.46/x
  3. Step 3: Cross multiply
    13,227.84x = 18,253.26 × 7,561.46
  4. Step 4: Simplify right side
    13,227.84x = 138,021,295.36
  5. Step 5: Solve for x
    x = 138,021,295.36/13,227.84
  6. Step 6: Final answer
    x = 10,434.15

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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.