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Finding the Fourth Proportional to 22,957.48, 31,679.61 and 12,749.09

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Solution

The fourth proportional to 22,957.48, 31,679.61 and 12,749.09 is: 17,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.48 : 31,679.61 = 12,749.09 : x
  2. Step 2: Convert to fraction form
    22,957.48/31,679.61 = 12,749.09/x
  3. Step 3: Cross multiply
    22,957.48x = 31,679.61 × 12,749.09
  4. Step 4: Simplify right side
    22,957.48x = 403,886,171.05
  5. Step 5: Solve for x
    x = 403,886,171.05/22,957.48
  6. Step 6: Final answer
    x = 17,592.79

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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.