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Finding the Fourth Proportional to 12,841.74, 17,721 and 7,176.15

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Solution

The fourth proportional to 12,841.74, 17,721 and 7,176.15 is: 9,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.74 : 17,721 = 7,176.15 : x
  2. Step 2: Convert to fraction form
    12,841.74/17,721 = 7,176.15/x
  3. Step 3: Cross multiply
    12,841.74x = 17,721 × 7,176.15
  4. Step 4: Simplify right side
    12,841.74x = 127,168,554.15
  5. Step 5: Solve for x
    x = 127,168,554.15/12,841.74
  6. Step 6: Final answer
    x = 9,902.75

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