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Finding the Fourth Proportional to 16,307.58, 22,504.46 and 9,234

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Solution

The fourth proportional to 16,307.58, 22,504.46 and 9,234 is: 12,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.58 : 22,504.46 = 9,234 : x
  2. Step 2: Convert to fraction form
    16,307.58/22,504.46 = 9,234/x
  3. Step 3: Cross multiply
    16,307.58x = 22,504.46 × 9,234
  4. Step 4: Simplify right side
    16,307.58x = 207,806,163.44
  5. Step 5: Solve for x
    x = 207,806,163.44/16,307.58
  6. Step 6: Final answer
    x = 12,742.92

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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.