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Finding the Fourth Proportional to 20,393.08, 30,588.52 and 6,541

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Solution

The fourth proportional to 20,393.08, 30,588.52 and 6,541 is: 9,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.08 : 30,588.52 = 6,541 : x
  2. Step 2: Convert to fraction form
    20,393.08/30,588.52 = 6,541/x
  3. Step 3: Cross multiply
    20,393.08x = 30,588.52 × 6,541
  4. Step 4: Simplify right side
    20,393.08x = 200,079,509.32
  5. Step 5: Solve for x
    x = 200,079,509.32/20,393.08
  6. Step 6: Final answer
    x = 9,811.15

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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.