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Finding the Fourth Proportional to 23,823.72, 35,733.02 and 7,179.98

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Solution

The fourth proportional to 23,823.72, 35,733.02 and 7,179.98 is: 10,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.72 : 35,733.02 = 7,179.98 : x
  2. Step 2: Convert to fraction form
    23,823.72/35,733.02 = 7,179.98/x
  3. Step 3: Cross multiply
    23,823.72x = 35,733.02 × 7,179.98
  4. Step 4: Simplify right side
    23,823.72x = 256,562,154.37
  5. Step 5: Solve for x
    x = 256,562,154.37/23,823.72
  6. Step 6: Final answer
    x = 10,769.19

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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.