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Finding the Fourth Proportional to 22,838.96, 31,512.84 and 13,405.04

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Solution

The fourth proportional to 22,838.96, 31,512.84 and 13,405.04 is: 18,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.96 : 31,512.84 = 13,405.04 : x
  2. Step 2: Convert to fraction form
    22,838.96/31,512.84 = 13,405.04/x
  3. Step 3: Cross multiply
    22,838.96x = 31,512.84 × 13,405.04
  4. Step 4: Simplify right side
    22,838.96x = 422,430,880.71
  5. Step 5: Solve for x
    x = 422,430,880.71/22,838.96
  6. Step 6: Final answer
    x = 18,496.06

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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.