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Finding the Fourth Proportional to 14,940.97, 22,406.99 and 5,078

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Solution

The fourth proportional to 14,940.97, 22,406.99 and 5,078 is: 7,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.97 : 22,406.99 = 5,078 : x
  2. Step 2: Convert to fraction form
    14,940.97/22,406.99 = 5,078/x
  3. Step 3: Cross multiply
    14,940.97x = 22,406.99 × 5,078
  4. Step 4: Simplify right side
    14,940.97x = 113,782,695.22
  5. Step 5: Solve for x
    x = 113,782,695.22/14,940.97
  6. Step 6: Final answer
    x = 7,615.49

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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.