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Finding the Fourth Proportional to 22,498.98, 31,048.64 and 13,546.86

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Solution

The fourth proportional to 22,498.98, 31,048.64 and 13,546.86 is: 18,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.98 : 31,048.64 = 13,546.86 : x
  2. Step 2: Convert to fraction form
    22,498.98/31,048.64 = 13,546.86/x
  3. Step 3: Cross multiply
    22,498.98x = 31,048.64 × 13,546.86
  4. Step 4: Simplify right side
    22,498.98x = 420,611,511.54
  5. Step 5: Solve for x
    x = 420,611,511.54/22,498.98
  6. Step 6: Final answer
    x = 18,694.69

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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.