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Finding the Fourth Proportional to 22,931.76, 34,429.50 and 11,846.64

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Solution

The fourth proportional to 22,931.76, 34,429.50 and 11,846.64 is: 17,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.76 : 34,429.50 = 11,846.64 : x
  2. Step 2: Convert to fraction form
    22,931.76/34,429.50 = 11,846.64/x
  3. Step 3: Cross multiply
    22,931.76x = 34,429.50 × 11,846.64
  4. Step 4: Simplify right side
    22,931.76x = 407,873,891.88
  5. Step 5: Solve for x
    x = 407,873,891.88/22,931.76
  6. Step 6: Final answer
    x = 17,786.42

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