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Finding the Fourth Proportional to 12,564.56, 17,324.52 and 11,801.72

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Solution

The fourth proportional to 12,564.56, 17,324.52 and 11,801.72 is: 16,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.56 : 17,324.52 = 11,801.72 : x
  2. Step 2: Convert to fraction form
    12,564.56/17,324.52 = 11,801.72/x
  3. Step 3: Cross multiply
    12,564.56x = 17,324.52 × 11,801.72
  4. Step 4: Simplify right side
    12,564.56x = 204,459,134.17
  5. Step 5: Solve for x
    x = 204,459,134.17/12,564.56
  6. Step 6: Final answer
    x = 16,272.69

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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.