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Finding the Fourth Proportional to 20,357.94, 30,533.66 and 8,668.02

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Solution

The fourth proportional to 20,357.94, 30,533.66 and 8,668.02 is: 13,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.94 : 30,533.66 = 8,668.02 : x
  2. Step 2: Convert to fraction form
    20,357.94/30,533.66 = 8,668.02/x
  3. Step 3: Cross multiply
    20,357.94x = 30,533.66 × 8,668.02
  4. Step 4: Simplify right side
    20,357.94x = 264,666,375.55
  5. Step 5: Solve for x
    x = 264,666,375.55/20,357.94
  6. Step 6: Final answer
    x = 13,000.65

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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.