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Finding the Fourth Proportional to 23,508.09, 35,262.09 and 7,724.16

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Solution

The fourth proportional to 23,508.09, 35,262.09 and 7,724.16 is: 11,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.09 : 35,262.09 = 7,724.16 : x
  2. Step 2: Convert to fraction form
    23,508.09/35,262.09 = 7,724.16/x
  3. Step 3: Cross multiply
    23,508.09x = 35,262.09 × 7,724.16
  4. Step 4: Simplify right side
    23,508.09x = 272,370,025.09
  5. Step 5: Solve for x
    x = 272,370,025.09/23,508.09
  6. Step 6: Final answer
    x = 11,586.23

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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.