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Finding the Fourth Proportional to 20,394, 30,596.40 and 6,543.36

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Solution

The fourth proportional to 20,394, 30,596.40 and 6,543.36 is: 9,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 30,596.40 = 6,543.36 : x
  2. Step 2: Convert to fraction form
    20,394/30,596.40 = 6,543.36/x
  3. Step 3: Cross multiply
    20,394x = 30,596.40 × 6,543.36
  4. Step 4: Simplify right side
    20,394x = 200,203,259.90
  5. Step 5: Solve for x
    x = 200,203,259.90/20,394
  6. Step 6: Final answer
    x = 9,816.77

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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.