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Finding the Fourth Proportional to 17,027.88, 25,538.94 and 4,713

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Solution

The fourth proportional to 17,027.88, 25,538.94 and 4,713 is: 7,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.88 : 25,538.94 = 4,713 : x
  2. Step 2: Convert to fraction form
    17,027.88/25,538.94 = 4,713/x
  3. Step 3: Cross multiply
    17,027.88x = 25,538.94 × 4,713
  4. Step 4: Simplify right side
    17,027.88x = 120,365,024.22
  5. Step 5: Solve for x
    x = 120,365,024.22/17,027.88
  6. Step 6: Final answer
    x = 7,068.70

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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.