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Finding the Fourth Proportional to 22,932.14, 31,648.19 and 12,861.50

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Solution

The fourth proportional to 22,932.14, 31,648.19 and 12,861.50 is: 17,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.14 : 31,648.19 = 12,861.50 : x
  2. Step 2: Convert to fraction form
    22,932.14/31,648.19 = 12,861.50/x
  3. Step 3: Cross multiply
    22,932.14x = 31,648.19 × 12,861.50
  4. Step 4: Simplify right side
    22,932.14x = 407,042,973.14
  5. Step 5: Solve for x
    x = 407,042,973.14/22,932.14
  6. Step 6: Final answer
    x = 17,749.89

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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.