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Finding the Fourth Proportional to 14,974.86, 22,447.28 and 7,556.88

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Solution

The fourth proportional to 14,974.86, 22,447.28 and 7,556.88 is: 11,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.86 : 22,447.28 = 7,556.88 : x
  2. Step 2: Convert to fraction form
    14,974.86/22,447.28 = 7,556.88/x
  3. Step 3: Cross multiply
    14,974.86x = 22,447.28 × 7,556.88
  4. Step 4: Simplify right side
    14,974.86x = 169,631,401.29
  5. Step 5: Solve for x
    x = 169,631,401.29/14,974.86
  6. Step 6: Final answer
    x = 11,327.75

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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.