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Finding the Fourth Proportional to 16,729.98, 23,074.47 and 12,252.12

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Solution

The fourth proportional to 16,729.98, 23,074.47 and 12,252.12 is: 16,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.98 : 23,074.47 = 12,252.12 : x
  2. Step 2: Convert to fraction form
    16,729.98/23,074.47 = 12,252.12/x
  3. Step 3: Cross multiply
    16,729.98x = 23,074.47 × 12,252.12
  4. Step 4: Simplify right side
    16,729.98x = 282,711,175.38
  5. Step 5: Solve for x
    x = 282,711,175.38/16,729.98
  6. Step 6: Final answer
    x = 16,898.48

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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.