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Finding the Fourth Proportional to 13,523.06, 18,662.34 and 7,857.74

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Solution

The fourth proportional to 13,523.06, 18,662.34 and 7,857.74 is: 10,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.06 : 18,662.34 = 7,857.74 : x
  2. Step 2: Convert to fraction form
    13,523.06/18,662.34 = 7,857.74/x
  3. Step 3: Cross multiply
    13,523.06x = 18,662.34 × 7,857.74
  4. Step 4: Simplify right side
    13,523.06x = 146,643,815.51
  5. Step 5: Solve for x
    x = 146,643,815.51/13,523.06
  6. Step 6: Final answer
    x = 10,843.98

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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.