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Finding the Fourth Proportional to 15,729.85, 21,706.68 and 8,656.26

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Solution

The fourth proportional to 15,729.85, 21,706.68 and 8,656.26 is: 11,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.85 : 21,706.68 = 8,656.26 : x
  2. Step 2: Convert to fraction form
    15,729.85/21,706.68 = 8,656.26/x
  3. Step 3: Cross multiply
    15,729.85x = 21,706.68 × 8,656.26
  4. Step 4: Simplify right side
    15,729.85x = 187,898,665.82
  5. Step 5: Solve for x
    x = 187,898,665.82/15,729.85
  6. Step 6: Final answer
    x = 11,945.36

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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.