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Finding the Fourth Proportional to 23,354.42, 35,031.76 and 5,824.25

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Solution

The fourth proportional to 23,354.42, 35,031.76 and 5,824.25 is: 8,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.42 : 35,031.76 = 5,824.25 : x
  2. Step 2: Convert to fraction form
    23,354.42/35,031.76 = 5,824.25/x
  3. Step 3: Cross multiply
    23,354.42x = 35,031.76 × 5,824.25
  4. Step 4: Simplify right side
    23,354.42x = 204,033,702.59
  5. Step 5: Solve for x
    x = 204,033,702.59/23,354.42
  6. Step 6: Final answer
    x = 8,736.41

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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.