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Finding the Fourth Proportional to 21,763.65, 32,647.50 and 7,722.30

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Solution

The fourth proportional to 21,763.65, 32,647.50 and 7,722.30 is: 11,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.65 : 32,647.50 = 7,722.30 : x
  2. Step 2: Convert to fraction form
    21,763.65/32,647.50 = 7,722.30/x
  3. Step 3: Cross multiply
    21,763.65x = 32,647.50 × 7,722.30
  4. Step 4: Simplify right side
    21,763.65x = 252,113,789.25
  5. Step 5: Solve for x
    x = 252,113,789.25/21,763.65
  6. Step 6: Final answer
    x = 11,584.17

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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.