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Finding the Fourth Proportional to 13,965.57, 20,948.00 and 7,722.36

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Solution

The fourth proportional to 13,965.57, 20,948.00 and 7,722.36 is: 11,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.57 : 20,948.00 = 7,722.36 : x
  2. Step 2: Convert to fraction form
    13,965.57/20,948.00 = 7,722.36/x
  3. Step 3: Cross multiply
    13,965.57x = 20,948.00 × 7,722.36
  4. Step 4: Simplify right side
    13,965.57x = 161,767,958.67
  5. Step 5: Solve for x
    x = 161,767,958.67/13,965.57
  6. Step 6: Final answer
    x = 11,583.34

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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.