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Finding the Fourth Proportional to 13,226.40, 18,253.70 and 7,561.61

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Solution

The fourth proportional to 13,226.40, 18,253.70 and 7,561.61 is: 10,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.40 : 18,253.70 = 7,561.61 : x
  2. Step 2: Convert to fraction form
    13,226.40/18,253.70 = 7,561.61/x
  3. Step 3: Cross multiply
    13,226.40x = 18,253.70 × 7,561.61
  4. Step 4: Simplify right side
    13,226.40x = 138,027,231.38
  5. Step 5: Solve for x
    x = 138,027,231.38/13,226.40
  6. Step 6: Final answer
    x = 10,435.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.