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Finding the Fourth Proportional to 20,579.94, 30,871.80 and 9,489.69

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Solution

The fourth proportional to 20,579.94, 30,871.80 and 9,489.69 is: 14,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.94 : 30,871.80 = 9,489.69 : x
  2. Step 2: Convert to fraction form
    20,579.94/30,871.80 = 9,489.69/x
  3. Step 3: Cross multiply
    20,579.94x = 30,871.80 × 9,489.69
  4. Step 4: Simplify right side
    20,579.94x = 292,963,811.74
  5. Step 5: Solve for x
    x = 292,963,811.74/20,579.94
  6. Step 6: Final answer
    x = 14,235.41

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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.