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Finding the Fourth Proportional to 22,954.64, 34,431.52 and 6,314.64

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Solution

The fourth proportional to 22,954.64, 34,431.52 and 6,314.64 is: 9,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.64 : 34,431.52 = 6,314.64 : x
  2. Step 2: Convert to fraction form
    22,954.64/34,431.52 = 6,314.64/x
  3. Step 3: Cross multiply
    22,954.64x = 34,431.52 × 6,314.64
  4. Step 4: Simplify right side
    22,954.64x = 217,422,653.45
  5. Step 5: Solve for x
    x = 217,422,653.45/22,954.64
  6. Step 6: Final answer
    x = 9,471.84

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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.