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Finding the Fourth Proportional to 11,837.04, 16,404.18 and 11,670

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Solution

The fourth proportional to 11,837.04, 16,404.18 and 11,670 is: 16,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.04 : 16,404.18 = 11,670 : x
  2. Step 2: Convert to fraction form
    11,837.04/16,404.18 = 11,670/x
  3. Step 3: Cross multiply
    11,837.04x = 16,404.18 × 11,670
  4. Step 4: Simplify right side
    11,837.04x = 191,436,780.60
  5. Step 5: Solve for x
    x = 191,436,780.60/11,837.04
  6. Step 6: Final answer
    x = 16,172.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.