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Finding the Fourth Proportional to 22,648.86, 31,256.37 and 13,694.76

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Solution

The fourth proportional to 22,648.86, 31,256.37 and 13,694.76 is: 18,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.86 : 31,256.37 = 13,694.76 : x
  2. Step 2: Convert to fraction form
    22,648.86/31,256.37 = 13,694.76/x
  3. Step 3: Cross multiply
    22,648.86x = 31,256.37 × 13,694.76
  4. Step 4: Simplify right side
    22,648.86x = 428,048,485.62
  5. Step 5: Solve for x
    x = 428,048,485.62/22,648.86
  6. Step 6: Final answer
    x = 18,899.34

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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.