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Finding the Fourth Proportional to 16,180.40, 22,340.02 and 12,396.90

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Solution

The fourth proportional to 16,180.40, 22,340.02 and 12,396.90 is: 17,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.40 : 22,340.02 = 12,396.90 : x
  2. Step 2: Convert to fraction form
    16,180.40/22,340.02 = 12,396.90/x
  3. Step 3: Cross multiply
    16,180.40x = 22,340.02 × 12,396.90
  4. Step 4: Simplify right side
    16,180.40x = 276,946,993.94
  5. Step 5: Solve for x
    x = 276,946,993.94/16,180.40
  6. Step 6: Final answer
    x = 17,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.