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Finding the Fourth Proportional to 17,715, 26,572.50 and 5,403

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Solution

The fourth proportional to 17,715, 26,572.50 and 5,403 is: 8,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 26,572.50 = 5,403 : x
  2. Step 2: Convert to fraction form
    17,715/26,572.50 = 5,403/x
  3. Step 3: Cross multiply
    17,715x = 26,572.50 × 5,403
  4. Step 4: Simplify right side
    17,715x = 143,571,217.50
  5. Step 5: Solve for x
    x = 143,571,217.50/17,715
  6. Step 6: Final answer
    x = 8,104.50

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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.