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Finding the Fourth Proportional to 17,640, 24,343.08 and 9,682.32

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Solution

The fourth proportional to 17,640, 24,343.08 and 9,682.32 is: 13,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640 : 24,343.08 = 9,682.32 : x
  2. Step 2: Convert to fraction form
    17,640/24,343.08 = 9,682.32/x
  3. Step 3: Cross multiply
    17,640x = 24,343.08 × 9,682.32
  4. Step 4: Simplify right side
    17,640x = 235,697,490.35
  5. Step 5: Solve for x
    x = 235,697,490.35/17,640
  6. Step 6: Final answer
    x = 13,361.54

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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.