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Finding the Fourth Proportional to 11,632.41, 16,045.53 and 10,143.90

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Solution

The fourth proportional to 11,632.41, 16,045.53 and 10,143.90 is: 13,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.41 : 16,045.53 = 10,143.90 : x
  2. Step 2: Convert to fraction form
    11,632.41/16,045.53 = 10,143.90/x
  3. Step 3: Cross multiply
    11,632.41x = 16,045.53 × 10,143.90
  4. Step 4: Simplify right side
    11,632.41x = 162,764,213.73
  5. Step 5: Solve for x
    x = 162,764,213.73/11,632.41
  6. Step 6: Final answer
    x = 13,992.30

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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.