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Finding the Fourth Proportional to 12,224.32, 16,869.64 and 6,635.36

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Solution

The fourth proportional to 12,224.32, 16,869.64 and 6,635.36 is: 9,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.32 : 16,869.64 = 6,635.36 : x
  2. Step 2: Convert to fraction form
    12,224.32/16,869.64 = 6,635.36/x
  3. Step 3: Cross multiply
    12,224.32x = 16,869.64 × 6,635.36
  4. Step 4: Simplify right side
    12,224.32x = 111,936,134.47
  5. Step 5: Solve for x
    x = 111,936,134.47/12,224.32
  6. Step 6: Final answer
    x = 9,156.84

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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.