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Finding the Fourth Proportional to 20,143.57, 30,204.98 and 9,040.74

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Solution

The fourth proportional to 20,143.57, 30,204.98 and 9,040.74 is: 13,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.57 : 30,204.98 = 9,040.74 : x
  2. Step 2: Convert to fraction form
    20,143.57/30,204.98 = 9,040.74/x
  3. Step 3: Cross multiply
    20,143.57x = 30,204.98 × 9,040.74
  4. Step 4: Simplify right side
    20,143.57x = 273,075,370.89
  5. Step 5: Solve for x
    x = 273,075,370.89/20,143.57
  6. Step 6: Final answer
    x = 13,556.45

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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.