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Finding the Fourth Proportional to 13,422.54, 18,540.54 and 10,216.35

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Solution

The fourth proportional to 13,422.54, 18,540.54 and 10,216.35 is: 14,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.54 : 18,540.54 = 10,216.35 : x
  2. Step 2: Convert to fraction form
    13,422.54/18,540.54 = 10,216.35/x
  3. Step 3: Cross multiply
    13,422.54x = 18,540.54 × 10,216.35
  4. Step 4: Simplify right side
    13,422.54x = 189,416,645.83
  5. Step 5: Solve for x
    x = 189,416,645.83/13,422.54
  6. Step 6: Final answer
    x = 14,111.83

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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.