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Finding the Fourth Proportional to 22,955.44, 34,438.60 and 8,165.64

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Solution

The fourth proportional to 22,955.44, 34,438.60 and 8,165.64 is: 12,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.44 : 34,438.60 = 8,165.64 : x
  2. Step 2: Convert to fraction form
    22,955.44/34,438.60 = 8,165.64/x
  3. Step 3: Cross multiply
    22,955.44x = 34,438.60 × 8,165.64
  4. Step 4: Simplify right side
    22,955.44x = 281,213,209.70
  5. Step 5: Solve for x
    x = 281,213,209.70/22,955.44
  6. Step 6: Final answer
    x = 12,250.40

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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.