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Finding the Fourth Proportional to 12,099.84, 16,698.24 and 7,386.24

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Solution

The fourth proportional to 12,099.84, 16,698.24 and 7,386.24 is: 10,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.84 : 16,698.24 = 7,386.24 : x
  2. Step 2: Convert to fraction form
    12,099.84/16,698.24 = 7,386.24/x
  3. Step 3: Cross multiply
    12,099.84x = 16,698.24 × 7,386.24
  4. Step 4: Simplify right side
    12,099.84x = 123,337,208.22
  5. Step 5: Solve for x
    x = 123,337,208.22/12,099.84
  6. Step 6: Final answer
    x = 10,193.29

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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.