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Finding the Fourth Proportional to 12,643.38, 18,965.07 and 7,024.61

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Solution

The fourth proportional to 12,643.38, 18,965.07 and 7,024.61 is: 10,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.38 : 18,965.07 = 7,024.61 : x
  2. Step 2: Convert to fraction form
    12,643.38/18,965.07 = 7,024.61/x
  3. Step 3: Cross multiply
    12,643.38x = 18,965.07 × 7,024.61
  4. Step 4: Simplify right side
    12,643.38x = 133,222,220.37
  5. Step 5: Solve for x
    x = 133,222,220.37/12,643.38
  6. Step 6: Final answer
    x = 10,536.92

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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.