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Finding the Fourth Proportional to 17,498.69, 26,250.68 and 5,648.50

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Solution

The fourth proportional to 17,498.69, 26,250.68 and 5,648.50 is: 8,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.69 : 26,250.68 = 5,648.50 : x
  2. Step 2: Convert to fraction form
    17,498.69/26,250.68 = 5,648.50/x
  3. Step 3: Cross multiply
    17,498.69x = 26,250.68 × 5,648.50
  4. Step 4: Simplify right side
    17,498.69x = 148,276,965.98
  5. Step 5: Solve for x
    x = 148,276,965.98/17,498.69
  6. Step 6: Final answer
    x = 8,473.60

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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.