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Finding the Fourth Proportional to 22,709.84, 31,339.32 and 12,638.24

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Solution

The fourth proportional to 22,709.84, 31,339.32 and 12,638.24 is: 17,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.84 : 31,339.32 = 12,638.24 : x
  2. Step 2: Convert to fraction form
    22,709.84/31,339.32 = 12,638.24/x
  3. Step 3: Cross multiply
    22,709.84x = 31,339.32 × 12,638.24
  4. Step 4: Simplify right side
    22,709.84x = 396,073,847.60
  5. Step 5: Solve for x
    x = 396,073,847.60/22,709.84
  6. Step 6: Final answer
    x = 17,440.63

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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.