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Finding the Fourth Proportional to 22,762.64, 34,121.64 and 11,674.64

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Solution

The fourth proportional to 22,762.64, 34,121.64 and 11,674.64 is: 17,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.64 : 34,121.64 = 11,674.64 : x
  2. Step 2: Convert to fraction form
    22,762.64/34,121.64 = 11,674.64/x
  3. Step 3: Cross multiply
    22,762.64x = 34,121.64 × 11,674.64
  4. Step 4: Simplify right side
    22,762.64x = 398,357,863.21
  5. Step 5: Solve for x
    x = 398,357,863.21/22,762.64
  6. Step 6: Final answer
    x = 17,500.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.