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Finding the Fourth Proportional to 20,411.06, 30,616.72 and 5,619.64

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Solution

The fourth proportional to 20,411.06, 30,616.72 and 5,619.64 is: 8,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.06 : 30,616.72 = 5,619.64 : x
  2. Step 2: Convert to fraction form
    20,411.06/30,616.72 = 5,619.64/x
  3. Step 3: Cross multiply
    20,411.06x = 30,616.72 × 5,619.64
  4. Step 4: Simplify right side
    20,411.06x = 172,054,944.38
  5. Step 5: Solve for x
    x = 172,054,944.38/20,411.06
  6. Step 6: Final answer
    x = 8,429.50

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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.