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Finding the Fourth Proportional to 24,762.44, 34,168.56 and 14,150

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Solution

The fourth proportional to 24,762.44, 34,168.56 and 14,150 is: 19,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.44 : 34,168.56 = 14,150 : x
  2. Step 2: Convert to fraction form
    24,762.44/34,168.56 = 14,150/x
  3. Step 3: Cross multiply
    24,762.44x = 34,168.56 × 14,150
  4. Step 4: Simplify right side
    24,762.44x = 483,485,124.00
  5. Step 5: Solve for x
    x = 483,485,124.00/24,762.44
  6. Step 6: Final answer
    x = 19,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.