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Finding the Fourth Proportional to 16,006.84, 24,021.06 and 5,618.68

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Solution

The fourth proportional to 16,006.84, 24,021.06 and 5,618.68 is: 8,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.84 : 24,021.06 = 5,618.68 : x
  2. Step 2: Convert to fraction form
    16,006.84/24,021.06 = 5,618.68/x
  3. Step 3: Cross multiply
    16,006.84x = 24,021.06 × 5,618.68
  4. Step 4: Simplify right side
    16,006.84x = 134,966,649.40
  5. Step 5: Solve for x
    x = 134,966,649.40/16,006.84
  6. Step 6: Final answer
    x = 8,431.81

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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.