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Finding the Fourth Proportional to 20,896.58, 31,344.91 and 5,101.58

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Solution

The fourth proportional to 20,896.58, 31,344.91 and 5,101.58 is: 7,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.58 : 31,344.91 = 5,101.58 : x
  2. Step 2: Convert to fraction form
    20,896.58/31,344.91 = 5,101.58/x
  3. Step 3: Cross multiply
    20,896.58x = 31,344.91 × 5,101.58
  4. Step 4: Simplify right side
    20,896.58x = 159,908,631.57
  5. Step 5: Solve for x
    x = 159,908,631.57/20,896.58
  6. Step 6: Final answer
    x = 7,652.38

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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.