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Finding the Fourth Proportional to 13,105.83, 19,665.09 and 6,532.95

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Solution

The fourth proportional to 13,105.83, 19,665.09 and 6,532.95 is: 9,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.83 : 19,665.09 = 6,532.95 : x
  2. Step 2: Convert to fraction form
    13,105.83/19,665.09 = 6,532.95/x
  3. Step 3: Cross multiply
    13,105.83x = 19,665.09 × 6,532.95
  4. Step 4: Simplify right side
    13,105.83x = 128,471,049.72
  5. Step 5: Solve for x
    x = 128,471,049.72/13,105.83
  6. Step 6: Final answer
    x = 9,802.59

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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.