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Finding the Fourth Proportional to 13,523.02, 18,660.48 and 7,857.64

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Solution

The fourth proportional to 13,523.02, 18,660.48 and 7,857.64 is: 10,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.02 : 18,660.48 = 7,857.64 : x
  2. Step 2: Convert to fraction form
    13,523.02/18,660.48 = 7,857.64/x
  3. Step 3: Cross multiply
    13,523.02x = 18,660.48 × 7,857.64
  4. Step 4: Simplify right side
    13,523.02x = 146,627,327.93
  5. Step 5: Solve for x
    x = 146,627,327.93/13,523.02
  6. Step 6: Final answer
    x = 10,842.80

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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.