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Finding the Fourth Proportional to 17,214.80, 25,814.52 and 4,899.92

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Solution

The fourth proportional to 17,214.80, 25,814.52 and 4,899.92 is: 7,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.80 : 25,814.52 = 4,899.92 : x
  2. Step 2: Convert to fraction form
    17,214.80/25,814.52 = 4,899.92/x
  3. Step 3: Cross multiply
    17,214.80x = 25,814.52 × 4,899.92
  4. Step 4: Simplify right side
    17,214.80x = 126,489,082.84
  5. Step 5: Solve for x
    x = 126,489,082.84/17,214.80
  6. Step 6: Final answer
    x = 7,347.69

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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.