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Finding the Fourth Proportional to 21,220.40, 31,838.79 and 6,429.44

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Solution

The fourth proportional to 21,220.40, 31,838.79 and 6,429.44 is: 9,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.40 : 31,838.79 = 6,429.44 : x
  2. Step 2: Convert to fraction form
    21,220.40/31,838.79 = 6,429.44/x
  3. Step 3: Cross multiply
    21,220.40x = 31,838.79 × 6,429.44
  4. Step 4: Simplify right side
    21,220.40x = 204,705,430.78
  5. Step 5: Solve for x
    x = 204,705,430.78/21,220.40
  6. Step 6: Final answer
    x = 9,646.64

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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.