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Finding the Fourth Proportional to 13,105.30, 19,659.58 and 4,221.22

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Solution

The fourth proportional to 13,105.30, 19,659.58 and 4,221.22 is: 6,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.30 : 19,659.58 = 4,221.22 : x
  2. Step 2: Convert to fraction form
    13,105.30/19,659.58 = 4,221.22/x
  3. Step 3: Cross multiply
    13,105.30x = 19,659.58 × 4,221.22
  4. Step 4: Simplify right side
    13,105.30x = 82,987,412.29
  5. Step 5: Solve for x
    x = 82,987,412.29/13,105.30
  6. Step 6: Final answer
    x = 6,332.36

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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.