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Finding the Fourth Proportional to 15,729.21, 21,706.28 and 8,655.63

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Solution

The fourth proportional to 15,729.21, 21,706.28 and 8,655.63 is: 11,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.21 : 21,706.28 = 8,655.63 : x
  2. Step 2: Convert to fraction form
    15,729.21/21,706.28 = 8,655.63/x
  3. Step 3: Cross multiply
    15,729.21x = 21,706.28 × 8,655.63
  4. Step 4: Simplify right side
    15,729.21x = 187,881,485.08
  5. Step 5: Solve for x
    x = 187,881,485.08/15,729.21
  6. Step 6: Final answer
    x = 11,944.75

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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.