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Finding the Fourth Proportional to 14,978.32, 22,474.02 and 5,750.80

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Solution

The fourth proportional to 14,978.32, 22,474.02 and 5,750.80 is: 8,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.32 : 22,474.02 = 5,750.80 : x
  2. Step 2: Convert to fraction form
    14,978.32/22,474.02 = 5,750.80/x
  3. Step 3: Cross multiply
    14,978.32x = 22,474.02 × 5,750.80
  4. Step 4: Simplify right side
    14,978.32x = 129,243,594.22
  5. Step 5: Solve for x
    x = 129,243,594.22/14,978.32
  6. Step 6: Final answer
    x = 8,628.71

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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.