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Finding the Fourth Proportional to 22,796.46, 31,458.24 and 13,844.34

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Solution

The fourth proportional to 22,796.46, 31,458.24 and 13,844.34 is: 19,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.46 : 31,458.24 = 13,844.34 : x
  2. Step 2: Convert to fraction form
    22,796.46/31,458.24 = 13,844.34/x
  3. Step 3: Cross multiply
    22,796.46x = 31,458.24 × 13,844.34
  4. Step 4: Simplify right side
    22,796.46x = 435,518,570.36
  5. Step 5: Solve for x
    x = 435,518,570.36/22,796.46
  6. Step 6: Final answer
    x = 19,104.66

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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.