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Finding the Fourth Proportional to 12,198.79, 16,834.80 and 7,417.36

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Solution

The fourth proportional to 12,198.79, 16,834.80 and 7,417.36 is: 10,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.79 : 16,834.80 = 7,417.36 : x
  2. Step 2: Convert to fraction form
    12,198.79/16,834.80 = 7,417.36/x
  3. Step 3: Cross multiply
    12,198.79x = 16,834.80 × 7,417.36
  4. Step 4: Simplify right side
    12,198.79x = 124,869,772.13
  5. Step 5: Solve for x
    x = 124,869,772.13/12,198.79
  6. Step 6: Final answer
    x = 10,236.24

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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.