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Finding the Fourth Proportional to 22,546.82, 31,109.01 and 14,579.46

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Solution

The fourth proportional to 22,546.82, 31,109.01 and 14,579.46 is: 20,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.82 : 31,109.01 = 14,579.46 : x
  2. Step 2: Convert to fraction form
    22,546.82/31,109.01 = 14,579.46/x
  3. Step 3: Cross multiply
    22,546.82x = 31,109.01 × 14,579.46
  4. Step 4: Simplify right side
    22,546.82x = 453,552,566.93
  5. Step 5: Solve for x
    x = 453,552,566.93/22,546.82
  6. Step 6: Final answer
    x = 20,116.03

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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.