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Finding the Fourth Proportional to 22,467.87, 31,005.75 and 12,395.82

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Solution

The fourth proportional to 22,467.87, 31,005.75 and 12,395.82 is: 17,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.87 : 31,005.75 = 12,395.82 : x
  2. Step 2: Convert to fraction form
    22,467.87/31,005.75 = 12,395.82/x
  3. Step 3: Cross multiply
    22,467.87x = 31,005.75 × 12,395.82
  4. Step 4: Simplify right side
    22,467.87x = 384,341,695.97
  5. Step 5: Solve for x
    x = 384,341,695.97/22,467.87
  6. Step 6: Final answer
    x = 17,106.28

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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.