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Finding the Fourth Proportional to 17,589.72, 24,269 and 11,305.74

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Solution

The fourth proportional to 17,589.72, 24,269 and 11,305.74 is: 15,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.72 : 24,269 = 11,305.74 : x
  2. Step 2: Convert to fraction form
    17,589.72/24,269 = 11,305.74/x
  3. Step 3: Cross multiply
    17,589.72x = 24,269 × 11,305.74
  4. Step 4: Simplify right side
    17,589.72x = 274,379,004.06
  5. Step 5: Solve for x
    x = 274,379,004.06/17,589.72
  6. Step 6: Final answer
    x = 15,598.83

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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.