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Finding the Fourth Proportional to 20,557.32, 30,838.06 and 5,766.28

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Solution

The fourth proportional to 20,557.32, 30,838.06 and 5,766.28 is: 8,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.32 : 30,838.06 = 5,766.28 : x
  2. Step 2: Convert to fraction form
    20,557.32/30,838.06 = 5,766.28/x
  3. Step 3: Cross multiply
    20,557.32x = 30,838.06 × 5,766.28
  4. Step 4: Simplify right side
    20,557.32x = 177,820,888.62
  5. Step 5: Solve for x
    x = 177,820,888.62/20,557.32
  6. Step 6: Final answer
    x = 8,650.00

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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.