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Finding the Fourth Proportional to 11,655.42, 17,469.24 and 6,714.82

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Solution

The fourth proportional to 11,655.42, 17,469.24 and 6,714.82 is: 10,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.42 : 17,469.24 = 6,714.82 : x
  2. Step 2: Convert to fraction form
    11,655.42/17,469.24 = 6,714.82/x
  3. Step 3: Cross multiply
    11,655.42x = 17,469.24 × 6,714.82
  4. Step 4: Simplify right side
    11,655.42x = 117,302,802.14
  5. Step 5: Solve for x
    x = 117,302,802.14/11,655.42
  6. Step 6: Final answer
    x = 10,064.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.