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Finding the Fourth Proportional to 20,549.40, 30,827.61 and 6,509.19

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Solution

The fourth proportional to 20,549.40, 30,827.61 and 6,509.19 is: 9,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.40 : 30,827.61 = 6,509.19 : x
  2. Step 2: Convert to fraction form
    20,549.40/30,827.61 = 6,509.19/x
  3. Step 3: Cross multiply
    20,549.40x = 30,827.61 × 6,509.19
  4. Step 4: Simplify right side
    20,549.40x = 200,662,770.74
  5. Step 5: Solve for x
    x = 200,662,770.74/20,549.40
  6. Step 6: Final answer
    x = 9,764.90

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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.