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Finding the Fourth Proportional to 11,678.62, 17,537.37 and 11,587.90

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Solution

The fourth proportional to 11,678.62, 17,537.37 and 11,587.90 is: 17,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.62 : 17,537.37 = 11,587.90 : x
  2. Step 2: Convert to fraction form
    11,678.62/17,537.37 = 11,587.90/x
  3. Step 3: Cross multiply
    11,678.62x = 17,537.37 × 11,587.90
  4. Step 4: Simplify right side
    11,678.62x = 203,221,144.20
  5. Step 5: Solve for x
    x = 203,221,144.20/11,678.62
  6. Step 6: Final answer
    x = 17,401.13

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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.