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Finding the Fourth Proportional to 13,985.31, 20,965.49 and 5,220.63

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Solution

The fourth proportional to 13,985.31, 20,965.49 and 5,220.63 is: 7,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.31 : 20,965.49 = 5,220.63 : x
  2. Step 2: Convert to fraction form
    13,985.31/20,965.49 = 5,220.63/x
  3. Step 3: Cross multiply
    13,985.31x = 20,965.49 × 5,220.63
  4. Step 4: Simplify right side
    13,985.31x = 109,453,039.96
  5. Step 5: Solve for x
    x = 109,453,039.96/13,985.31
  6. Step 6: Final answer
    x = 7,826.29

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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.