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Finding the Fourth Proportional to 18,349.50, 25,322.31 and 9,966

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Solution

The fourth proportional to 18,349.50, 25,322.31 and 9,966 is: 13,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.50 : 25,322.31 = 9,966 : x
  2. Step 2: Convert to fraction form
    18,349.50/25,322.31 = 9,966/x
  3. Step 3: Cross multiply
    18,349.50x = 25,322.31 × 9,966
  4. Step 4: Simplify right side
    18,349.50x = 252,362,141.46
  5. Step 5: Solve for x
    x = 252,362,141.46/18,349.50
  6. Step 6: Final answer
    x = 13,753.08

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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.