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Finding the Fourth Proportional to 17,589.32, 24,270 and 10,514.24

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Solution

The fourth proportional to 17,589.32, 24,270 and 10,514.24 is: 14,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.32 : 24,270 = 10,514.24 : x
  2. Step 2: Convert to fraction form
    17,589.32/24,270 = 10,514.24/x
  3. Step 3: Cross multiply
    17,589.32x = 24,270 × 10,514.24
  4. Step 4: Simplify right side
    17,589.32x = 255,180,604.80
  5. Step 5: Solve for x
    x = 255,180,604.80/17,589.32
  6. Step 6: Final answer
    x = 14,507.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.