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Finding the Fourth Proportional to 22,709.89, 31,339.43 and 12,638.16

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Solution

The fourth proportional to 22,709.89, 31,339.43 and 12,638.16 is: 17,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.89 : 31,339.43 = 12,638.16 : x
  2. Step 2: Convert to fraction form
    22,709.89/31,339.43 = 12,638.16/x
  3. Step 3: Cross multiply
    22,709.89x = 31,339.43 × 12,638.16
  4. Step 4: Simplify right side
    22,709.89x = 396,072,667.46
  5. Step 5: Solve for x
    x = 396,072,667.46/22,709.89
  6. Step 6: Final answer
    x = 17,440.54

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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.