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Finding the Fourth Proportional to 17,584.84, 24,267.15 and 9,627.81

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Solution

The fourth proportional to 17,584.84, 24,267.15 and 9,627.81 is: 13,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.84 : 24,267.15 = 9,627.81 : x
  2. Step 2: Convert to fraction form
    17,584.84/24,267.15 = 9,627.81/x
  3. Step 3: Cross multiply
    17,584.84x = 24,267.15 × 9,627.81
  4. Step 4: Simplify right side
    17,584.84x = 233,639,509.44
  5. Step 5: Solve for x
    x = 233,639,509.44/17,584.84
  6. Step 6: Final answer
    x = 13,286.42

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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.