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Finding the Fourth Proportional to 17,650.80, 24,379.38 and 14,078.16

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Solution

The fourth proportional to 17,650.80, 24,379.38 and 14,078.16 is: 19,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.80 : 24,379.38 = 14,078.16 : x
  2. Step 2: Convert to fraction form
    17,650.80/24,379.38 = 14,078.16/x
  3. Step 3: Cross multiply
    17,650.80x = 24,379.38 × 14,078.16
  4. Step 4: Simplify right side
    17,650.80x = 343,216,812.34
  5. Step 5: Solve for x
    x = 343,216,812.34/17,650.80
  6. Step 6: Final answer
    x = 19,444.83

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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.