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Finding the Fourth Proportional to 12,099.12, 16,698.64 and 7,386.16

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Solution

The fourth proportional to 12,099.12, 16,698.64 and 7,386.16 is: 10,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.12 : 16,698.64 = 7,386.16 : x
  2. Step 2: Convert to fraction form
    12,099.12/16,698.64 = 7,386.16/x
  3. Step 3: Cross multiply
    12,099.12x = 16,698.64 × 7,386.16
  4. Step 4: Simplify right side
    12,099.12x = 123,338,826.82
  5. Step 5: Solve for x
    x = 123,338,826.82/12,099.12
  6. Step 6: Final answer
    x = 10,194.03

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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.