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Finding the Fourth Proportional to 25,702.56, 35,462.34 and 16,143.48

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Solution

The fourth proportional to 25,702.56, 35,462.34 and 16,143.48 is: 22,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.56 : 35,462.34 = 16,143.48 : x
  2. Step 2: Convert to fraction form
    25,702.56/35,462.34 = 16,143.48/x
  3. Step 3: Cross multiply
    25,702.56x = 35,462.34 × 16,143.48
  4. Step 4: Simplify right side
    25,702.56x = 572,485,576.54
  5. Step 5: Solve for x
    x = 572,485,576.54/25,702.56
  6. Step 6: Final answer
    x = 22,273.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.