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Finding the Fourth Proportional to 15,467.50, 23,184.97 and 9,849.44

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Solution

The fourth proportional to 15,467.50, 23,184.97 and 9,849.44 is: 14,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.50 : 23,184.97 = 9,849.44 : x
  2. Step 2: Convert to fraction form
    15,467.50/23,184.97 = 9,849.44/x
  3. Step 3: Cross multiply
    15,467.50x = 23,184.97 × 9,849.44
  4. Step 4: Simplify right side
    15,467.50x = 228,358,873.84
  5. Step 5: Solve for x
    x = 228,358,873.84/15,467.50
  6. Step 6: Final answer
    x = 14,763.79

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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.