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Finding the Fourth Proportional to 17,143.50, 25,715.13 and 4,663.47

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Solution

The fourth proportional to 17,143.50, 25,715.13 and 4,663.47 is: 6,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.50 : 25,715.13 = 4,663.47 : x
  2. Step 2: Convert to fraction form
    17,143.50/25,715.13 = 4,663.47/x
  3. Step 3: Cross multiply
    17,143.50x = 25,715.13 × 4,663.47
  4. Step 4: Simplify right side
    17,143.50x = 119,921,849.03
  5. Step 5: Solve for x
    x = 119,921,849.03/17,143.50
  6. Step 6: Final answer
    x = 6,995.18

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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.