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Finding the Fourth Proportional to 17,614.86, 24,319 and 11,651.64

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Solution

The fourth proportional to 17,614.86, 24,319 and 11,651.64 is: 16,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.86 : 24,319 = 11,651.64 : x
  2. Step 2: Convert to fraction form
    17,614.86/24,319 = 11,651.64/x
  3. Step 3: Cross multiply
    17,614.86x = 24,319 × 11,651.64
  4. Step 4: Simplify right side
    17,614.86x = 283,356,233.16
  5. Step 5: Solve for x
    x = 283,356,233.16/17,614.86
  6. Step 6: Final answer
    x = 16,086.20

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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.