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Finding the Fourth Proportional to 20,143.12, 30,187.94 and 9,047.74

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Solution

The fourth proportional to 20,143.12, 30,187.94 and 9,047.74 is: 13,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.12 : 30,187.94 = 9,047.74 : x
  2. Step 2: Convert to fraction form
    20,143.12/30,187.94 = 9,047.74/x
  3. Step 3: Cross multiply
    20,143.12x = 30,187.94 × 9,047.74
  4. Step 4: Simplify right side
    20,143.12x = 273,132,632.26
  5. Step 5: Solve for x
    x = 273,132,632.26/20,143.12
  6. Step 6: Final answer
    x = 13,559.60

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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.