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Finding the Fourth Proportional to 16,006.74, 23,988.51 and 8,199.06

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Solution

The fourth proportional to 16,006.74, 23,988.51 and 8,199.06 is: 12,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.74 : 23,988.51 = 8,199.06 : x
  2. Step 2: Convert to fraction form
    16,006.74/23,988.51 = 8,199.06/x
  3. Step 3: Cross multiply
    16,006.74x = 23,988.51 × 8,199.06
  4. Step 4: Simplify right side
    16,006.74x = 196,683,232.80
  5. Step 5: Solve for x
    x = 196,683,232.80/16,006.74
  6. Step 6: Final answer
    x = 12,287.53

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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.