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Finding the Fourth Proportional to 23,411.56, 35,110.01 and 7,825.54

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Solution

The fourth proportional to 23,411.56, 35,110.01 and 7,825.54 is: 11,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.56 : 35,110.01 = 7,825.54 : x
  2. Step 2: Convert to fraction form
    23,411.56/35,110.01 = 7,825.54/x
  3. Step 3: Cross multiply
    23,411.56x = 35,110.01 × 7,825.54
  4. Step 4: Simplify right side
    23,411.56x = 274,754,612.11
  5. Step 5: Solve for x
    x = 274,754,612.11/23,411.56
  6. Step 6: Final answer
    x = 11,735.85

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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.