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Finding the Fourth Proportional to 13,330.66, 19,982.07 and 5,429.77

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Solution

The fourth proportional to 13,330.66, 19,982.07 and 5,429.77 is: 8,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330.66 : 19,982.07 = 5,429.77 : x
  2. Step 2: Convert to fraction form
    13,330.66/19,982.07 = 5,429.77/x
  3. Step 3: Cross multiply
    13,330.66x = 19,982.07 × 5,429.77
  4. Step 4: Simplify right side
    13,330.66x = 108,498,044.22
  5. Step 5: Solve for x
    x = 108,498,044.22/13,330.66
  6. Step 6: Final answer
    x = 8,138.99

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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.