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Finding the Fourth Proportional to 22,467.45, 31,005.18 and 12,396

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Solution

The fourth proportional to 22,467.45, 31,005.18 and 12,396 is: 17,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.45 : 31,005.18 = 12,396 : x
  2. Step 2: Convert to fraction form
    22,467.45/31,005.18 = 12,396/x
  3. Step 3: Cross multiply
    22,467.45x = 31,005.18 × 12,396
  4. Step 4: Simplify right side
    22,467.45x = 384,340,211.28
  5. Step 5: Solve for x
    x = 384,340,211.28/22,467.45
  6. Step 6: Final answer
    x = 17,106.53

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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.