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Finding the Fourth Proportional to 11,714.66, 17,614.14 and 10,801.38

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Solution

The fourth proportional to 11,714.66, 17,614.14 and 10,801.38 is: 16,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.66 : 17,614.14 = 10,801.38 : x
  2. Step 2: Convert to fraction form
    11,714.66/17,614.14 = 10,801.38/x
  3. Step 3: Cross multiply
    11,714.66x = 17,614.14 × 10,801.38
  4. Step 4: Simplify right side
    11,714.66x = 190,257,019.51
  5. Step 5: Solve for x
    x = 190,257,019.51/11,714.66
  6. Step 6: Final answer
    x = 16,240.93

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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.