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Finding the Fourth Proportional to 19,205.50, 28,808.26 and 8,261.50

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Solution

The fourth proportional to 19,205.50, 28,808.26 and 8,261.50 is: 12,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.50 : 28,808.26 = 8,261.50 : x
  2. Step 2: Convert to fraction form
    19,205.50/28,808.26 = 8,261.50/x
  3. Step 3: Cross multiply
    19,205.50x = 28,808.26 × 8,261.50
  4. Step 4: Simplify right side
    19,205.50x = 237,999,439.99
  5. Step 5: Solve for x
    x = 237,999,439.99/19,205.50
  6. Step 6: Final answer
    x = 12,392.25

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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.