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Finding the Fourth Proportional to 22,462.64, 33,693.81 and 5,822.63

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Solution

The fourth proportional to 22,462.64, 33,693.81 and 5,822.63 is: 8,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.64 : 33,693.81 = 5,822.63 : x
  2. Step 2: Convert to fraction form
    22,462.64/33,693.81 = 5,822.63/x
  3. Step 3: Cross multiply
    22,462.64x = 33,693.81 × 5,822.63
  4. Step 4: Simplify right side
    22,462.64x = 196,186,588.92
  5. Step 5: Solve for x
    x = 196,186,588.92/22,462.64
  6. Step 6: Final answer
    x = 8,733.91

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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.