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Finding the Fourth Proportional to 15,705.09, 21,674.22 and 8,992.81

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Solution

The fourth proportional to 15,705.09, 21,674.22 and 8,992.81 is: 12,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.09 : 21,674.22 = 8,992.81 : x
  2. Step 2: Convert to fraction form
    15,705.09/21,674.22 = 8,992.81/x
  3. Step 3: Cross multiply
    15,705.09x = 21,674.22 × 8,992.81
  4. Step 4: Simplify right side
    15,705.09x = 194,912,142.36
  5. Step 5: Solve for x
    x = 194,912,142.36/15,705.09
  6. Step 6: Final answer
    x = 12,410.76

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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.