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Finding the Fourth Proportional to 15,896.25, 23,833.85 and 7,577.55

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Solution

The fourth proportional to 15,896.25, 23,833.85 and 7,577.55 is: 11,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.25 : 23,833.85 = 7,577.55 : x
  2. Step 2: Convert to fraction form
    15,896.25/23,833.85 = 7,577.55/x
  3. Step 3: Cross multiply
    15,896.25x = 23,833.85 × 7,577.55
  4. Step 4: Simplify right side
    15,896.25x = 180,602,152.18
  5. Step 5: Solve for x
    x = 180,602,152.18/15,896.25
  6. Step 6: Final answer
    x = 11,361.31

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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.