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Finding the Fourth Proportional to 16,006.65, 23,962.51 and 11,865.21

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Solution

The fourth proportional to 16,006.65, 23,962.51 and 11,865.21 is: 17,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.65 : 23,962.51 = 11,865.21 : x
  2. Step 2: Convert to fraction form
    16,006.65/23,962.51 = 11,865.21/x
  3. Step 3: Cross multiply
    16,006.65x = 23,962.51 × 11,865.21
  4. Step 4: Simplify right side
    16,006.65x = 284,320,213.28
  5. Step 5: Solve for x
    x = 284,320,213.28/16,006.65
  6. Step 6: Final answer
    x = 17,762.63

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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.