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Finding the Fourth Proportional to 17,786.92, 24,543.04 and 10,614.64

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Solution

The fourth proportional to 17,786.92, 24,543.04 and 10,614.64 is: 14,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.92 : 24,543.04 = 10,614.64 : x
  2. Step 2: Convert to fraction form
    17,786.92/24,543.04 = 10,614.64/x
  3. Step 3: Cross multiply
    17,786.92x = 24,543.04 × 10,614.64
  4. Step 4: Simplify right side
    17,786.92x = 260,515,534.11
  5. Step 5: Solve for x
    x = 260,515,534.11/17,786.92
  6. Step 6: Final answer
    x = 14,646.47

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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.