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Finding the Fourth Proportional to 20,557.79, 30,838.62 and 5,766.65

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Solution

The fourth proportional to 20,557.79, 30,838.62 and 5,766.65 is: 8,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.79 : 30,838.62 = 5,766.65 : x
  2. Step 2: Convert to fraction form
    20,557.79/30,838.62 = 5,766.65/x
  3. Step 3: Cross multiply
    20,557.79x = 30,838.62 × 5,766.65
  4. Step 4: Simplify right side
    20,557.79x = 177,835,373.83
  5. Step 5: Solve for x
    x = 177,835,373.83/20,557.79
  6. Step 6: Final answer
    x = 8,650.51

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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.