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Finding the Fourth Proportional to 23,792.28, 35,690.84 and 8,207.88

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Solution

The fourth proportional to 23,792.28, 35,690.84 and 8,207.88 is: 12,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.28 : 35,690.84 = 8,207.88 : x
  2. Step 2: Convert to fraction form
    23,792.28/35,690.84 = 8,207.88/x
  3. Step 3: Cross multiply
    23,792.28x = 35,690.84 × 8,207.88
  4. Step 4: Simplify right side
    23,792.28x = 292,946,131.82
  5. Step 5: Solve for x
    x = 292,946,131.82/23,792.28
  6. Step 6: Final answer
    x = 12,312.65

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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.