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Finding the Fourth Proportional to 15,729.34, 21,706.65 and 8,656.21

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Solution

The fourth proportional to 15,729.34, 21,706.65 and 8,656.21 is: 11,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.34 : 21,706.65 = 8,656.21 : x
  2. Step 2: Convert to fraction form
    15,729.34/21,706.65 = 8,656.21/x
  3. Step 3: Cross multiply
    15,729.34x = 21,706.65 × 8,656.21
  4. Step 4: Simplify right side
    15,729.34x = 187,897,320.80
  5. Step 5: Solve for x
    x = 187,897,320.80/15,729.34
  6. Step 6: Final answer
    x = 11,945.66

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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.