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Finding the Fourth Proportional to 22,467.87, 31,005.78 and 12,396.32

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Solution

The fourth proportional to 22,467.87, 31,005.78 and 12,396.32 is: 17,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.87 : 31,005.78 = 12,396.32 : x
  2. Step 2: Convert to fraction form
    22,467.87/31,005.78 = 12,396.32/x
  3. Step 3: Cross multiply
    22,467.87x = 31,005.78 × 12,396.32
  4. Step 4: Simplify right side
    22,467.87x = 384,357,353.72
  5. Step 5: Solve for x
    x = 384,357,353.72/22,467.87
  6. Step 6: Final answer
    x = 17,106.98

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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.