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Finding the Fourth Proportional to 15,728.34, 21,692.82 and 9,756.66

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Solution

The fourth proportional to 15,728.34, 21,692.82 and 9,756.66 is: 13,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.34 : 21,692.82 = 9,756.66 : x
  2. Step 2: Convert to fraction form
    15,728.34/21,692.82 = 9,756.66/x
  3. Step 3: Cross multiply
    15,728.34x = 21,692.82 × 9,756.66
  4. Step 4: Simplify right side
    15,728.34x = 211,649,469.18
  5. Step 5: Solve for x
    x = 211,649,469.18/15,728.34
  6. Step 6: Final answer
    x = 13,456.57

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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.