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Finding the Fourth Proportional to 12,098.24, 16,698.24 and 6,722.53

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Solution

The fourth proportional to 12,098.24, 16,698.24 and 6,722.53 is: 9,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.24 : 16,698.24 = 6,722.53 : x
  2. Step 2: Convert to fraction form
    12,098.24/16,698.24 = 6,722.53/x
  3. Step 3: Cross multiply
    12,098.24x = 16,698.24 × 6,722.53
  4. Step 4: Simplify right side
    12,098.24x = 112,254,377.60
  5. Step 5: Solve for x
    x = 112,254,377.60/12,098.24
  6. Step 6: Final answer
    x = 9,278.57

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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.