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Finding the Fourth Proportional to 22,406.51, 33,615.30 and 9,262.64

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Solution

The fourth proportional to 22,406.51, 33,615.30 and 9,262.64 is: 13,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.51 : 33,615.30 = 9,262.64 : x
  2. Step 2: Convert to fraction form
    22,406.51/33,615.30 = 9,262.64/x
  3. Step 3: Cross multiply
    22,406.51x = 33,615.30 × 9,262.64
  4. Step 4: Simplify right side
    22,406.51x = 311,366,422.39
  5. Step 5: Solve for x
    x = 311,366,422.39/22,406.51
  6. Step 6: Final answer
    x = 13,896.25

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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.