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Finding the Fourth Proportional to 19,311.75, 28,972.49 and 5,460.75

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Solution

The fourth proportional to 19,311.75, 28,972.49 and 5,460.75 is: 8,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.75 : 28,972.49 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    19,311.75/28,972.49 = 5,460.75/x
  3. Step 3: Cross multiply
    19,311.75x = 28,972.49 × 5,460.75
  4. Step 4: Simplify right side
    19,311.75x = 158,211,497.46
  5. Step 5: Solve for x
    x = 158,211,497.46/19,311.75
  6. Step 6: Final answer
    x = 8,192.50

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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.