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Finding the Fourth Proportional to 11,920.76, 17,881.14 and 4,129.58

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Solution

The fourth proportional to 11,920.76, 17,881.14 and 4,129.58 is: 6,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.76 : 17,881.14 = 4,129.58 : x
  2. Step 2: Convert to fraction form
    11,920.76/17,881.14 = 4,129.58/x
  3. Step 3: Cross multiply
    11,920.76x = 17,881.14 × 4,129.58
  4. Step 4: Simplify right side
    11,920.76x = 73,841,508.72
  5. Step 5: Solve for x
    x = 73,841,508.72/11,920.76
  6. Step 6: Final answer
    x = 6,194.37

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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.