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Finding the Fourth Proportional to 25,576.70, 38,365.05 and 8,051.90

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Solution

The fourth proportional to 25,576.70, 38,365.05 and 8,051.90 is: 12,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576.70 : 38,365.05 = 8,051.90 : x
  2. Step 2: Convert to fraction form
    25,576.70/38,365.05 = 8,051.90/x
  3. Step 3: Cross multiply
    25,576.70x = 38,365.05 × 8,051.90
  4. Step 4: Simplify right side
    25,576.70x = 308,911,546.10
  5. Step 5: Solve for x
    x = 308,911,546.10/25,576.70
  6. Step 6: Final answer
    x = 12,077.85

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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.