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Finding the Fourth Proportional to 20,143.98, 30,205.59 and 9,041.15

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Solution

The fourth proportional to 20,143.98, 30,205.59 and 9,041.15 is: 13,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.98 : 30,205.59 = 9,041.15 : x
  2. Step 2: Convert to fraction form
    20,143.98/30,205.59 = 9,041.15/x
  3. Step 3: Cross multiply
    20,143.98x = 30,205.59 × 9,041.15
  4. Step 4: Simplify right side
    20,143.98x = 273,093,224.82
  5. Step 5: Solve for x
    x = 273,093,224.82/20,143.98
  6. Step 6: Final answer
    x = 13,557.06

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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.