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Finding the Fourth Proportional to 15,137.46, 22,713.75 and 9,575.46

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Solution

The fourth proportional to 15,137.46, 22,713.75 and 9,575.46 is: 14,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.46 : 22,713.75 = 9,575.46 : x
  2. Step 2: Convert to fraction form
    15,137.46/22,713.75 = 9,575.46/x
  3. Step 3: Cross multiply
    15,137.46x = 22,713.75 × 9,575.46
  4. Step 4: Simplify right side
    15,137.46x = 217,494,604.58
  5. Step 5: Solve for x
    x = 217,494,604.58/15,137.46
  6. Step 6: Final answer
    x = 14,367.97

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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.