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Finding the Fourth Proportional to 22,417.39, 33,607.26 and 9,757.69

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Solution

The fourth proportional to 22,417.39, 33,607.26 and 9,757.69 is: 14,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.39 : 33,607.26 = 9,757.69 : x
  2. Step 2: Convert to fraction form
    22,417.39/33,607.26 = 9,757.69/x
  3. Step 3: Cross multiply
    22,417.39x = 33,607.26 × 9,757.69
  4. Step 4: Simplify right side
    22,417.39x = 327,929,224.83
  5. Step 5: Solve for x
    x = 327,929,224.83/22,417.39
  6. Step 6: Final answer
    x = 14,628.34

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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.