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Finding the Fourth Proportional to 14,959.88, 22,442.47 and 4,965.22

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Solution

The fourth proportional to 14,959.88, 22,442.47 and 4,965.22 is: 7,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.88 : 22,442.47 = 4,965.22 : x
  2. Step 2: Convert to fraction form
    14,959.88/22,442.47 = 4,965.22/x
  3. Step 3: Cross multiply
    14,959.88x = 22,442.47 × 4,965.22
  4. Step 4: Simplify right side
    14,959.88x = 111,431,800.89
  5. Step 5: Solve for x
    x = 111,431,800.89/14,959.88
  6. Step 6: Final answer
    x = 7,448.71

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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.