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Finding the Fourth Proportional to 13,134.73, 19,691.00 and 6,111.11

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Solution

The fourth proportional to 13,134.73, 19,691.00 and 6,111.11 is: 9,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.73 : 19,691.00 = 6,111.11 : x
  2. Step 2: Convert to fraction form
    13,134.73/19,691.00 = 6,111.11/x
  3. Step 3: Cross multiply
    13,134.73x = 19,691.00 × 6,111.11
  4. Step 4: Simplify right side
    13,134.73x = 120,333,836.45
  5. Step 5: Solve for x
    x = 120,333,836.45/13,134.73
  6. Step 6: Final answer
    x = 9,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.