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Finding the Fourth Proportional to 17,019.50, 25,529.43 and 4,707.50

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Solution

The fourth proportional to 17,019.50, 25,529.43 and 4,707.50 is: 7,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.50 : 25,529.43 = 4,707.50 : x
  2. Step 2: Convert to fraction form
    17,019.50/25,529.43 = 4,707.50/x
  3. Step 3: Cross multiply
    17,019.50x = 25,529.43 × 4,707.50
  4. Step 4: Simplify right side
    17,019.50x = 120,179,791.73
  5. Step 5: Solve for x
    x = 120,179,791.73/17,019.50
  6. Step 6: Final answer
    x = 7,061.30

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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.