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Finding the Fourth Proportional to 22,467.53, 31,006.52 and 12,398.22

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Solution

The fourth proportional to 22,467.53, 31,006.52 and 12,398.22 is: 17,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.53 : 31,006.52 = 12,398.22 : x
  2. Step 2: Convert to fraction form
    22,467.53/31,006.52 = 12,398.22/x
  3. Step 3: Cross multiply
    22,467.53x = 31,006.52 × 12,398.22
  4. Step 4: Simplify right side
    22,467.53x = 384,425,594.40
  5. Step 5: Solve for x
    x = 384,425,594.40/22,467.53
  6. Step 6: Final answer
    x = 17,110.28

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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.