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Finding the Fourth Proportional to 17,879.67, 24,674.26 and 9,814.08

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Solution

The fourth proportional to 17,879.67, 24,674.26 and 9,814.08 is: 13,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.67 : 24,674.26 = 9,814.08 : x
  2. Step 2: Convert to fraction form
    17,879.67/24,674.26 = 9,814.08/x
  3. Step 3: Cross multiply
    17,879.67x = 24,674.26 × 9,814.08
  4. Step 4: Simplify right side
    17,879.67x = 242,155,137.05
  5. Step 5: Solve for x
    x = 242,155,137.05/17,879.67
  6. Step 6: Final answer
    x = 13,543.60

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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.