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Finding the Fourth Proportional to 11,691.51, 17,429 and 11,511.69

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Solution

The fourth proportional to 11,691.51, 17,429 and 11,511.69 is: 17,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.51 : 17,429 = 11,511.69 : x
  2. Step 2: Convert to fraction form
    11,691.51/17,429 = 11,511.69/x
  3. Step 3: Cross multiply
    11,691.51x = 17,429 × 11,511.69
  4. Step 4: Simplify right side
    11,691.51x = 200,637,245.01
  5. Step 5: Solve for x
    x = 200,637,245.01/11,691.51
  6. Step 6: Final answer
    x = 17,160.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.