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Finding the Fourth Proportional to 22,564.69, 31,138.24 and 12,492.42

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Solution

The fourth proportional to 22,564.69, 31,138.24 and 12,492.42 is: 17,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.69 : 31,138.24 = 12,492.42 : x
  2. Step 2: Convert to fraction form
    22,564.69/31,138.24 = 12,492.42/x
  3. Step 3: Cross multiply
    22,564.69x = 31,138.24 × 12,492.42
  4. Step 4: Simplify right side
    22,564.69x = 388,991,972.14
  5. Step 5: Solve for x
    x = 388,991,972.14/22,564.69
  6. Step 6: Final answer
    x = 17,238.97

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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.