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Finding the Fourth Proportional to 17,253.24, 23,808.92 and 9,699.38

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Solution

The fourth proportional to 17,253.24, 23,808.92 and 9,699.38 is: 13,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253.24 : 23,808.92 = 9,699.38 : x
  2. Step 2: Convert to fraction form
    17,253.24/23,808.92 = 9,699.38/x
  3. Step 3: Cross multiply
    17,253.24x = 23,808.92 × 9,699.38
  4. Step 4: Simplify right side
    17,253.24x = 230,931,762.47
  5. Step 5: Solve for x
    x = 230,931,762.47/17,253.24
  6. Step 6: Final answer
    x = 13,384.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.