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Finding the Fourth Proportional to 22,889.78, 31,587.44 and 12,680.54

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Solution

The fourth proportional to 22,889.78, 31,587.44 and 12,680.54 is: 17,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.78 : 31,587.44 = 12,680.54 : x
  2. Step 2: Convert to fraction form
    22,889.78/31,587.44 = 12,680.54/x
  3. Step 3: Cross multiply
    22,889.78x = 31,587.44 × 12,680.54
  4. Step 4: Simplify right side
    22,889.78x = 400,545,796.42
  5. Step 5: Solve for x
    x = 400,545,796.42/22,889.78
  6. Step 6: Final answer
    x = 17,498.89

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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.