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Finding the Fourth Proportional to 15,754.78, 21,741.67 and 8,681.05

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Solution

The fourth proportional to 15,754.78, 21,741.67 and 8,681.05 is: 11,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.78 : 21,741.67 = 8,681.05 : x
  2. Step 2: Convert to fraction form
    15,754.78/21,741.67 = 8,681.05/x
  3. Step 3: Cross multiply
    15,754.78x = 21,741.67 × 8,681.05
  4. Step 4: Simplify right side
    15,754.78x = 188,740,562.38
  5. Step 5: Solve for x
    x = 188,740,562.38/15,754.78
  6. Step 6: Final answer
    x = 11,979.89

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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.