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Finding the Fourth Proportional to 16,083.84, 24,124.32 and 7,201.92

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Solution

The fourth proportional to 16,083.84, 24,124.32 and 7,201.92 is: 10,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.84 : 24,124.32 = 7,201.92 : x
  2. Step 2: Convert to fraction form
    16,083.84/24,124.32 = 7,201.92/x
  3. Step 3: Cross multiply
    16,083.84x = 24,124.32 × 7,201.92
  4. Step 4: Simplify right side
    16,083.84x = 173,741,422.69
  5. Step 5: Solve for x
    x = 173,741,422.69/16,083.84
  6. Step 6: Final answer
    x = 10,802.24

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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.