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Finding the Fourth Proportional to 22,796.46, 31,462.29 and 13,842.63

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Solution

The fourth proportional to 22,796.46, 31,462.29 and 13,842.63 is: 19,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.46 : 31,462.29 = 13,842.63 : x
  2. Step 2: Convert to fraction form
    22,796.46/31,462.29 = 13,842.63/x
  3. Step 3: Cross multiply
    22,796.46x = 31,462.29 × 13,842.63
  4. Step 4: Simplify right side
    22,796.46x = 435,520,839.42
  5. Step 5: Solve for x
    x = 435,520,839.42/22,796.46
  6. Step 6: Final answer
    x = 19,104.76

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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.