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Finding the Fourth Proportional to 17,707.50, 26,564.07 and 5,861.70

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Solution

The fourth proportional to 17,707.50, 26,564.07 and 5,861.70 is: 8,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.50 : 26,564.07 = 5,861.70 : x
  2. Step 2: Convert to fraction form
    17,707.50/26,564.07 = 5,861.70/x
  3. Step 3: Cross multiply
    17,707.50x = 26,564.07 × 5,861.70
  4. Step 4: Simplify right side
    17,707.50x = 155,710,609.12
  5. Step 5: Solve for x
    x = 155,710,609.12/17,707.50
  6. Step 6: Final answer
    x = 8,793.48

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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.