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Finding the Fourth Proportional to 22,421.14, 33,637.34 and 7,630.20

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Solution

The fourth proportional to 22,421.14, 33,637.34 and 7,630.20 is: 11,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.14 : 33,637.34 = 7,630.20 : x
  2. Step 2: Convert to fraction form
    22,421.14/33,637.34 = 7,630.20/x
  3. Step 3: Cross multiply
    22,421.14x = 33,637.34 × 7,630.20
  4. Step 4: Simplify right side
    22,421.14x = 256,659,650.74
  5. Step 5: Solve for x
    x = 256,659,650.74/22,421.14
  6. Step 6: Final answer
    x = 11,447.22

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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.