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Finding the Fourth Proportional to 22,271.22, 33,397.11 and 8,410.50

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Solution

The fourth proportional to 22,271.22, 33,397.11 and 8,410.50 is: 12,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.22 : 33,397.11 = 8,410.50 : x
  2. Step 2: Convert to fraction form
    22,271.22/33,397.11 = 8,410.50/x
  3. Step 3: Cross multiply
    22,271.22x = 33,397.11 × 8,410.50
  4. Step 4: Simplify right side
    22,271.22x = 280,886,393.66
  5. Step 5: Solve for x
    x = 280,886,393.66/22,271.22
  6. Step 6: Final answer
    x = 12,612.08

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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.