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Finding the Fourth Proportional to 17,678.00, 24,400.91 and 11,632.90

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Solution

The fourth proportional to 17,678.00, 24,400.91 and 11,632.90 is: 16,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.00 : 24,400.91 = 11,632.90 : x
  2. Step 2: Convert to fraction form
    17,678.00/24,400.91 = 11,632.90/x
  3. Step 3: Cross multiply
    17,678.00x = 24,400.91 × 11,632.90
  4. Step 4: Simplify right side
    17,678.00x = 283,853,316.86
  5. Step 5: Solve for x
    x = 283,853,316.86/17,678.00
  6. Step 6: Final answer
    x = 16,056.87

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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.