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Finding the Fourth Proportional to 16,307.98, 22,505.38 and 9,138.43

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Solution

The fourth proportional to 16,307.98, 22,505.38 and 9,138.43 is: 12,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.98 : 22,505.38 = 9,138.43 : x
  2. Step 2: Convert to fraction form
    16,307.98/22,505.38 = 9,138.43/x
  3. Step 3: Cross multiply
    16,307.98x = 22,505.38 × 9,138.43
  4. Step 4: Simplify right side
    16,307.98x = 205,663,794.06
  5. Step 5: Solve for x
    x = 205,663,794.06/16,307.98
  6. Step 6: Final answer
    x = 12,611.24

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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.