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Finding the Fourth Proportional to 14,959.21, 22,441.48 and 4,964.56

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Solution

The fourth proportional to 14,959.21, 22,441.48 and 4,964.56 is: 7,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.21 : 22,441.48 = 4,964.56 : x
  2. Step 2: Convert to fraction form
    14,959.21/22,441.48 = 4,964.56/x
  3. Step 3: Cross multiply
    14,959.21x = 22,441.48 × 4,964.56
  4. Step 4: Simplify right side
    14,959.21x = 111,412,073.95
  5. Step 5: Solve for x
    x = 111,412,073.95/14,959.21
  6. Step 6: Final answer
    x = 7,447.72

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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.