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Finding the Fourth Proportional to 23,285.08, 34,905.74 and 7,694.20

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Solution

The fourth proportional to 23,285.08, 34,905.74 and 7,694.20 is: 11,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.08 : 34,905.74 = 7,694.20 : x
  2. Step 2: Convert to fraction form
    23,285.08/34,905.74 = 7,694.20/x
  3. Step 3: Cross multiply
    23,285.08x = 34,905.74 × 7,694.20
  4. Step 4: Simplify right side
    23,285.08x = 268,571,744.71
  5. Step 5: Solve for x
    x = 268,571,744.71/23,285.08
  6. Step 6: Final answer
    x = 11,534.07

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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.