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Finding the Fourth Proportional to 22,709.94, 31,339.42 and 12,638.13

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Solution

The fourth proportional to 22,709.94, 31,339.42 and 12,638.13 is: 17,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.94 : 31,339.42 = 12,638.13 : x
  2. Step 2: Convert to fraction form
    22,709.94/31,339.42 = 12,638.13/x
  3. Step 3: Cross multiply
    22,709.94x = 31,339.42 × 12,638.13
  4. Step 4: Simplify right side
    22,709.94x = 396,071,664.08
  5. Step 5: Solve for x
    x = 396,071,664.08/22,709.94
  6. Step 6: Final answer
    x = 17,440.45

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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.