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Finding the Fourth Proportional to 13,422.56, 18,540.56 and 10,216.38

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Solution

The fourth proportional to 13,422.56, 18,540.56 and 10,216.38 is: 14,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.56 : 18,540.56 = 10,216.38 : x
  2. Step 2: Convert to fraction form
    13,422.56/18,540.56 = 10,216.38/x
  3. Step 3: Cross multiply
    13,422.56x = 18,540.56 × 10,216.38
  4. Step 4: Simplify right side
    13,422.56x = 189,417,406.37
  5. Step 5: Solve for x
    x = 189,417,406.37/13,422.56
  6. Step 6: Final answer
    x = 14,111.87

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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.