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Finding the Fourth Proportional to 13,166.17, 19,747.11 and 6,146.91

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Solution

The fourth proportional to 13,166.17, 19,747.11 and 6,146.91 is: 9,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.17 : 19,747.11 = 6,146.91 : x
  2. Step 2: Convert to fraction form
    13,166.17/19,747.11 = 6,146.91/x
  3. Step 3: Cross multiply
    13,166.17x = 19,747.11 × 6,146.91
  4. Step 4: Simplify right side
    13,166.17x = 121,383,707.93
  5. Step 5: Solve for x
    x = 121,383,707.93/13,166.17
  6. Step 6: Final answer
    x = 9,219.37

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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.