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Finding the Fourth Proportional to 17,622.71, 24,317.09 and 10,069.53

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Solution

The fourth proportional to 17,622.71, 24,317.09 and 10,069.53 is: 13,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.71 : 24,317.09 = 10,069.53 : x
  2. Step 2: Convert to fraction form
    17,622.71/24,317.09 = 10,069.53/x
  3. Step 3: Cross multiply
    17,622.71x = 24,317.09 × 10,069.53
  4. Step 4: Simplify right side
    17,622.71x = 244,861,786.97
  5. Step 5: Solve for x
    x = 244,861,786.97/17,622.71
  6. Step 6: Final answer
    x = 13,894.67

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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.