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Finding the Fourth Proportional to 12,133.24, 18,202.89 and 9,643.82

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Solution

The fourth proportional to 12,133.24, 18,202.89 and 9,643.82 is: 14,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.24 : 18,202.89 = 9,643.82 : x
  2. Step 2: Convert to fraction form
    12,133.24/18,202.89 = 9,643.82/x
  3. Step 3: Cross multiply
    12,133.24x = 18,202.89 × 9,643.82
  4. Step 4: Simplify right side
    12,133.24x = 175,545,394.64
  5. Step 5: Solve for x
    x = 175,545,394.64/12,133.24
  6. Step 6: Final answer
    x = 14,468.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.