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Finding the Fourth Proportional to 17,653.52, 24,361.87 and 9,696.14

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Solution

The fourth proportional to 17,653.52, 24,361.87 and 9,696.14 is: 13,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.52 : 24,361.87 = 9,696.14 : x
  2. Step 2: Convert to fraction form
    17,653.52/24,361.87 = 9,696.14/x
  3. Step 3: Cross multiply
    17,653.52x = 24,361.87 × 9,696.14
  4. Step 4: Simplify right side
    17,653.52x = 236,216,102.18
  5. Step 5: Solve for x
    x = 236,216,102.18/17,653.52
  6. Step 6: Final answer
    x = 13,380.68

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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.