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Finding the Fourth Proportional to 16,312.61, 22,489.97 and 11,771.48

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Solution

The fourth proportional to 16,312.61, 22,489.97 and 11,771.48 is: 16,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.61 : 22,489.97 = 11,771.48 : x
  2. Step 2: Convert to fraction form
    16,312.61/22,489.97 = 11,771.48/x
  3. Step 3: Cross multiply
    16,312.61x = 22,489.97 × 11,771.48
  4. Step 4: Simplify right side
    16,312.61x = 264,740,060.75
  5. Step 5: Solve for x
    x = 264,740,060.75/16,312.61
  6. Step 6: Final answer
    x = 16,229.17

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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.