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Finding the Fourth Proportional to 13,462.77, 20,188.22 and 7,220.91

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Solution

The fourth proportional to 13,462.77, 20,188.22 and 7,220.91 is: 10,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.77 : 20,188.22 = 7,220.91 : x
  2. Step 2: Convert to fraction form
    13,462.77/20,188.22 = 7,220.91/x
  3. Step 3: Cross multiply
    13,462.77x = 20,188.22 × 7,220.91
  4. Step 4: Simplify right side
    13,462.77x = 145,777,283.58
  5. Step 5: Solve for x
    x = 145,777,283.58/13,462.77
  6. Step 6: Final answer
    x = 10,828.18

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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.