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Finding the Fourth Proportional to 15,978.20, 23,849.01 and 14,993.24

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Solution

The fourth proportional to 15,978.20, 23,849.01 and 14,993.24 is: 22,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.20 : 23,849.01 = 14,993.24 : x
  2. Step 2: Convert to fraction form
    15,978.20/23,849.01 = 14,993.24/x
  3. Step 3: Cross multiply
    15,978.20x = 23,849.01 × 14,993.24
  4. Step 4: Simplify right side
    15,978.20x = 357,573,930.69
  5. Step 5: Solve for x
    x = 357,573,930.69/15,978.20
  6. Step 6: Final answer
    x = 22,378.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.