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Finding the Fourth Proportional to 22,485.93, 33,722.74 and 8,444.87

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Solution

The fourth proportional to 22,485.93, 33,722.74 and 8,444.87 is: 12,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.93 : 33,722.74 = 8,444.87 : x
  2. Step 2: Convert to fraction form
    22,485.93/33,722.74 = 8,444.87/x
  3. Step 3: Cross multiply
    22,485.93x = 33,722.74 × 8,444.87
  4. Step 4: Simplify right side
    22,485.93x = 284,784,325.31
  5. Step 5: Solve for x
    x = 284,784,325.31/22,485.93
  6. Step 6: Final answer
    x = 12,665.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.