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Finding the Fourth Proportional to 22,578.86, 31,160.58 and 12,508.26

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Solution

The fourth proportional to 22,578.86, 31,160.58 and 12,508.26 is: 17,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.86 : 31,160.58 = 12,508.26 : x
  2. Step 2: Convert to fraction form
    22,578.86/31,160.58 = 12,508.26/x
  3. Step 3: Cross multiply
    22,578.86x = 31,160.58 × 12,508.26
  4. Step 4: Simplify right side
    22,578.86x = 389,764,636.39
  5. Step 5: Solve for x
    x = 389,764,636.39/22,578.86
  6. Step 6: Final answer
    x = 17,262.37

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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.