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Finding the Fourth Proportional to 14,511.80, 21,777.30 and 8,271.80

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Solution

The fourth proportional to 14,511.80, 21,777.30 and 8,271.80 is: 12,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.80 : 21,777.30 = 8,271.80 : x
  2. Step 2: Convert to fraction form
    14,511.80/21,777.30 = 8,271.80/x
  3. Step 3: Cross multiply
    14,511.80x = 21,777.30 × 8,271.80
  4. Step 4: Simplify right side
    14,511.80x = 180,137,470.14
  5. Step 5: Solve for x
    x = 180,137,470.14/14,511.80
  6. Step 6: Final answer
    x = 12,413.17

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1.5x scale

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.