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Finding the Fourth Proportional to 15,744.50, 21,727.08 and 8,670.98

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Solution

The fourth proportional to 15,744.50, 21,727.08 and 8,670.98 is: 11,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.50 : 21,727.08 = 8,670.98 : x
  2. Step 2: Convert to fraction form
    15,744.50/21,727.08 = 8,670.98/x
  3. Step 3: Cross multiply
    15,744.50x = 21,727.08 × 8,670.98
  4. Step 4: Simplify right side
    15,744.50x = 188,395,076.14
  5. Step 5: Solve for x
    x = 188,395,076.14/15,744.50
  6. Step 6: Final answer
    x = 11,965.77

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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.