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Finding the Fourth Proportional to 17,640.94, 24,344.67 and 9,574.67

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Solution

The fourth proportional to 17,640.94, 24,344.67 and 9,574.67 is: 13,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.94 : 24,344.67 = 9,574.67 : x
  2. Step 2: Convert to fraction form
    17,640.94/24,344.67 = 9,574.67/x
  3. Step 3: Cross multiply
    17,640.94x = 24,344.67 × 9,574.67
  4. Step 4: Simplify right side
    17,640.94x = 233,092,181.51
  5. Step 5: Solve for x
    x = 233,092,181.51/17,640.94
  6. Step 6: Final answer
    x = 13,213.14

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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.