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Finding the Fourth Proportional to 23,819.66, 35,728.88 and 6,289.64

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Solution

The fourth proportional to 23,819.66, 35,728.88 and 6,289.64 is: 9,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.66 : 35,728.88 = 6,289.64 : x
  2. Step 2: Convert to fraction form
    23,819.66/35,728.88 = 6,289.64/x
  3. Step 3: Cross multiply
    23,819.66x = 35,728.88 × 6,289.64
  4. Step 4: Simplify right side
    23,819.66x = 224,721,792.80
  5. Step 5: Solve for x
    x = 224,721,792.80/23,819.66
  6. Step 6: Final answer
    x = 9,434.30

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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.