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Finding the Fourth Proportional to 17,715.38, 24,447.24 and 9,757.58

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Solution

The fourth proportional to 17,715.38, 24,447.24 and 9,757.58 is: 13,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.38 : 24,447.24 = 9,757.58 : x
  2. Step 2: Convert to fraction form
    17,715.38/24,447.24 = 9,757.58/x
  3. Step 3: Cross multiply
    17,715.38x = 24,447.24 × 9,757.58
  4. Step 4: Simplify right side
    17,715.38x = 238,545,777.84
  5. Step 5: Solve for x
    x = 238,545,777.84/17,715.38
  6. Step 6: Final answer
    x = 13,465.47

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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.