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Finding the Fourth Proportional to 22,643.76, 33,965.04 and 6,003.84

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Solution

The fourth proportional to 22,643.76, 33,965.04 and 6,003.84 is: 9,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.76 : 33,965.04 = 6,003.84 : x
  2. Step 2: Convert to fraction form
    22,643.76/33,965.04 = 6,003.84/x
  3. Step 3: Cross multiply
    22,643.76x = 33,965.04 × 6,003.84
  4. Step 4: Simplify right side
    22,643.76x = 203,920,665.75
  5. Step 5: Solve for x
    x = 203,920,665.75/22,643.76
  6. Step 6: Final answer
    x = 9,005.60

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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.