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Finding the Fourth Proportional to 22,796.48, 31,458.56 and 14,823.66

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Solution

The fourth proportional to 22,796.48, 31,458.56 and 14,823.66 is: 20,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.48 : 31,458.56 = 14,823.66 : x
  2. Step 2: Convert to fraction form
    22,796.48/31,458.56 = 14,823.66/x
  3. Step 3: Cross multiply
    22,796.48x = 31,458.56 × 14,823.66
  4. Step 4: Simplify right side
    22,796.48x = 466,330,997.53
  5. Step 5: Solve for x
    x = 466,330,997.53/22,796.48
  6. Step 6: Final answer
    x = 20,456.27

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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.