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Finding the Fourth Proportional to 15,760.73, 21,749.73 and 8,687

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Solution

The fourth proportional to 15,760.73, 21,749.73 and 8,687 is: 11,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.73 : 21,749.73 = 8,687 : x
  2. Step 2: Convert to fraction form
    15,760.73/21,749.73 = 8,687/x
  3. Step 3: Cross multiply
    15,760.73x = 21,749.73 × 8,687
  4. Step 4: Simplify right side
    15,760.73x = 188,939,904.51
  5. Step 5: Solve for x
    x = 188,939,904.51/15,760.73
  6. Step 6: Final answer
    x = 11,988.02

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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.