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Finding the Fourth Proportional to 22,165.08, 33,235.86 and 9,670.50

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Solution

The fourth proportional to 22,165.08, 33,235.86 and 9,670.50 is: 14,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.08 : 33,235.86 = 9,670.50 : x
  2. Step 2: Convert to fraction form
    22,165.08/33,235.86 = 9,670.50/x
  3. Step 3: Cross multiply
    22,165.08x = 33,235.86 × 9,670.50
  4. Step 4: Simplify right side
    22,165.08x = 321,407,545.03
  5. Step 5: Solve for x
    x = 321,407,545.03/22,165.08
  6. Step 6: Final answer
    x = 14,500.63

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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.