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Finding the Fourth Proportional to 17,640.31, 24,344.49 and 9,682.45

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Solution

The fourth proportional to 17,640.31, 24,344.49 and 9,682.45 is: 13,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.31 : 24,344.49 = 9,682.45 : x
  2. Step 2: Convert to fraction form
    17,640.31/24,344.49 = 9,682.45/x
  3. Step 3: Cross multiply
    17,640.31x = 24,344.49 × 9,682.45
  4. Step 4: Simplify right side
    17,640.31x = 235,714,307.20
  5. Step 5: Solve for x
    x = 235,714,307.20/17,640.31
  6. Step 6: Final answer
    x = 13,362.25

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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.