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Finding the Fourth Proportional to 13,763.23, 20,618.31 and 8,221

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Solution

The fourth proportional to 13,763.23, 20,618.31 and 8,221 is: 12,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.23 : 20,618.31 = 8,221 : x
  2. Step 2: Convert to fraction form
    13,763.23/20,618.31 = 8,221/x
  3. Step 3: Cross multiply
    13,763.23x = 20,618.31 × 8,221
  4. Step 4: Simplify right side
    13,763.23x = 169,503,126.51
  5. Step 5: Solve for x
    x = 169,503,126.51/13,763.23
  6. Step 6: Final answer
    x = 12,315.65

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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.