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Finding the Fourth Proportional to 12,823.76, 17,696.82 and 7,158.38

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Solution

The fourth proportional to 12,823.76, 17,696.82 and 7,158.38 is: 9,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.76 : 17,696.82 = 7,158.38 : x
  2. Step 2: Convert to fraction form
    12,823.76/17,696.82 = 7,158.38/x
  3. Step 3: Cross multiply
    12,823.76x = 17,696.82 × 7,158.38
  4. Step 4: Simplify right side
    12,823.76x = 126,680,562.35
  5. Step 5: Solve for x
    x = 126,680,562.35/12,823.76
  6. Step 6: Final answer
    x = 9,878.58

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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.