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Finding the Fourth Proportional to 16,307.38, 22,504.12 and 8,855.38

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Solution

The fourth proportional to 16,307.38, 22,504.12 and 8,855.38 is: 12,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.38 : 22,504.12 = 8,855.38 : x
  2. Step 2: Convert to fraction form
    16,307.38/22,504.12 = 8,855.38/x
  3. Step 3: Cross multiply
    16,307.38x = 22,504.12 × 8,855.38
  4. Step 4: Simplify right side
    16,307.38x = 199,282,534.17
  5. Step 5: Solve for x
    x = 199,282,534.17/16,307.38
  6. Step 6: Final answer
    x = 12,220.39

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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.