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Finding the Fourth Proportional to 20,189.91, 30,288.93 and 7,038.75

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Solution

The fourth proportional to 20,189.91, 30,288.93 and 7,038.75 is: 10,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.91 : 30,288.93 = 7,038.75 : x
  2. Step 2: Convert to fraction form
    20,189.91/30,288.93 = 7,038.75/x
  3. Step 3: Cross multiply
    20,189.91x = 30,288.93 × 7,038.75
  4. Step 4: Simplify right side
    20,189.91x = 213,196,206.04
  5. Step 5: Solve for x
    x = 213,196,206.04/20,189.91
  6. Step 6: Final answer
    x = 10,559.54

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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.