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Finding the Fourth Proportional to 16,748, 25,122 and 6,892.64

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Solution

The fourth proportional to 16,748, 25,122 and 6,892.64 is: 10,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748 : 25,122 = 6,892.64 : x
  2. Step 2: Convert to fraction form
    16,748/25,122 = 6,892.64/x
  3. Step 3: Cross multiply
    16,748x = 25,122 × 6,892.64
  4. Step 4: Simplify right side
    16,748x = 173,156,902.08
  5. Step 5: Solve for x
    x = 173,156,902.08/16,748
  6. Step 6: Final answer
    x = 10,338.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.