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Finding the Fourth Proportional to 22,846.15, 31,512.09 and 14,899.14

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Solution

The fourth proportional to 22,846.15, 31,512.09 and 14,899.14 is: 20,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.15 : 31,512.09 = 14,899.14 : x
  2. Step 2: Convert to fraction form
    22,846.15/31,512.09 = 14,899.14/x
  3. Step 3: Cross multiply
    22,846.15x = 31,512.09 × 14,899.14
  4. Step 4: Simplify right side
    22,846.15x = 469,503,012.67
  5. Step 5: Solve for x
    x = 469,503,012.67/22,846.15
  6. Step 6: Final answer
    x = 20,550.64

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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.