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Finding the Fourth Proportional to 15,697.24, 21,662.08 and 8,527.09

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Solution

The fourth proportional to 15,697.24, 21,662.08 and 8,527.09 is: 11,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.24 : 21,662.08 = 8,527.09 : x
  2. Step 2: Convert to fraction form
    15,697.24/21,662.08 = 8,527.09/x
  3. Step 3: Cross multiply
    15,697.24x = 21,662.08 × 8,527.09
  4. Step 4: Simplify right side
    15,697.24x = 184,714,505.75
  5. Step 5: Solve for x
    x = 184,714,505.75/15,697.24
  6. Step 6: Final answer
    x = 11,767.32

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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.