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Finding the Fourth Proportional to 17,794.66, 24,557.91 and 9,836.72

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Solution

The fourth proportional to 17,794.66, 24,557.91 and 9,836.72 is: 13,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.66 : 24,557.91 = 9,836.72 : x
  2. Step 2: Convert to fraction form
    17,794.66/24,557.91 = 9,836.72/x
  3. Step 3: Cross multiply
    17,794.66x = 24,557.91 × 9,836.72
  4. Step 4: Simplify right side
    17,794.66x = 241,569,284.46
  5. Step 5: Solve for x
    x = 241,569,284.46/17,794.66
  6. Step 6: Final answer
    x = 13,575.38

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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.