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Finding the Fourth Proportional to 22,247.57, 30,701.23 and 12,175.80

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Solution

The fourth proportional to 22,247.57, 30,701.23 and 12,175.80 is: 16,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247.57 : 30,701.23 = 12,175.80 : x
  2. Step 2: Convert to fraction form
    22,247.57/30,701.23 = 12,175.80/x
  3. Step 3: Cross multiply
    22,247.57x = 30,701.23 × 12,175.80
  4. Step 4: Simplify right side
    22,247.57x = 373,812,036.23
  5. Step 5: Solve for x
    x = 373,812,036.23/22,247.57
  6. Step 6: Final answer
    x = 16,802.38

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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.