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Finding the Fourth Proportional to 17,641.19, 24,343.74 and 9,682.74

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Solution

The fourth proportional to 17,641.19, 24,343.74 and 9,682.74 is: 13,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.19 : 24,343.74 = 9,682.74 : x
  2. Step 2: Convert to fraction form
    17,641.19/24,343.74 = 9,682.74/x
  3. Step 3: Cross multiply
    17,641.19x = 24,343.74 × 9,682.74
  4. Step 4: Simplify right side
    17,641.19x = 235,714,105.05
  5. Step 5: Solve for x
    x = 235,714,105.05/17,641.19
  6. Step 6: Final answer
    x = 13,361.57

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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.