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Finding the Fourth Proportional to 22,838.97, 31,504.64 and 13,405.71

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Solution

The fourth proportional to 22,838.97, 31,504.64 and 13,405.71 is: 18,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.97 : 31,504.64 = 13,405.71 : x
  2. Step 2: Convert to fraction form
    22,838.97/31,504.64 = 13,405.71/x
  3. Step 3: Cross multiply
    22,838.97x = 31,504.64 × 13,405.71
  4. Step 4: Simplify right side
    22,838.97x = 422,342,000.47
  5. Step 5: Solve for x
    x = 422,342,000.47/22,838.97
  6. Step 6: Final answer
    x = 18,492.16

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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.