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Finding the Fourth Proportional to 22,109.34, 33,145.11 and 9,619.77

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Solution

The fourth proportional to 22,109.34, 33,145.11 and 9,619.77 is: 14,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.34 : 33,145.11 = 9,619.77 : x
  2. Step 2: Convert to fraction form
    22,109.34/33,145.11 = 9,619.77/x
  3. Step 3: Cross multiply
    22,109.34x = 33,145.11 × 9,619.77
  4. Step 4: Simplify right side
    22,109.34x = 318,848,334.82
  5. Step 5: Solve for x
    x = 318,848,334.82/22,109.34
  6. Step 6: Final answer
    x = 14,421.43

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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.