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Finding the Fourth Proportional to 17,712.80, 24,443.20 and 10,163.60

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Solution

The fourth proportional to 17,712.80, 24,443.20 and 10,163.60 is: 14,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.80 : 24,443.20 = 10,163.60 : x
  2. Step 2: Convert to fraction form
    17,712.80/24,443.20 = 10,163.60/x
  3. Step 3: Cross multiply
    17,712.80x = 24,443.20 × 10,163.60
  4. Step 4: Simplify right side
    17,712.80x = 248,430,907.52
  5. Step 5: Solve for x
    x = 248,430,907.52/17,712.80
  6. Step 6: Final answer
    x = 14,025.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.