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Finding the Fourth Proportional to 22,689.58, 31,314.38 and 13,736.86

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Solution

The fourth proportional to 22,689.58, 31,314.38 and 13,736.86 is: 18,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.58 : 31,314.38 = 13,736.86 : x
  2. Step 2: Convert to fraction form
    22,689.58/31,314.38 = 13,736.86/x
  3. Step 3: Cross multiply
    22,689.58x = 31,314.38 × 13,736.86
  4. Step 4: Simplify right side
    22,689.58x = 430,161,254.05
  5. Step 5: Solve for x
    x = 430,161,254.05/22,689.58
  6. Step 6: Final answer
    x = 18,958.54

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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.