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Finding the Fourth Proportional to 15,811, 21,817.29 and 8,736.46

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Solution

The fourth proportional to 15,811, 21,817.29 and 8,736.46 is: 12,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811 : 21,817.29 = 8,736.46 : x
  2. Step 2: Convert to fraction form
    15,811/21,817.29 = 8,736.46/x
  3. Step 3: Cross multiply
    15,811x = 21,817.29 × 8,736.46
  4. Step 4: Simplify right side
    15,811x = 190,605,881.39
  5. Step 5: Solve for x
    x = 190,605,881.39/15,811
  6. Step 6: Final answer
    x = 12,055.27

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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.