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Finding the Fourth Proportional to 23,407.29, 35,105.74 and 6,763.68

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Solution

The fourth proportional to 23,407.29, 35,105.74 and 6,763.68 is: 10,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.29 : 35,105.74 = 6,763.68 : x
  2. Step 2: Convert to fraction form
    23,407.29/35,105.74 = 6,763.68/x
  3. Step 3: Cross multiply
    23,407.29x = 35,105.74 × 6,763.68
  4. Step 4: Simplify right side
    23,407.29x = 237,443,974.61
  5. Step 5: Solve for x
    x = 237,443,974.61/23,407.29
  6. Step 6: Final answer
    x = 10,144.02

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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.