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Finding the Fourth Proportional to 15,723.82, 21,699.48 and 8,650.54

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Solution

The fourth proportional to 15,723.82, 21,699.48 and 8,650.54 is: 11,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.82 : 21,699.48 = 8,650.54 : x
  2. Step 2: Convert to fraction form
    15,723.82/21,699.48 = 8,650.54/x
  3. Step 3: Cross multiply
    15,723.82x = 21,699.48 × 8,650.54
  4. Step 4: Simplify right side
    15,723.82x = 187,712,219.72
  5. Step 5: Solve for x
    x = 187,712,219.72/15,723.82
  6. Step 6: Final answer
    x = 11,938.08

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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.