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Finding the Fourth Proportional to 20,549.69, 30,826.32 and 5,758.79

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Solution

The fourth proportional to 20,549.69, 30,826.32 and 5,758.79 is: 8,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.69 : 30,826.32 = 5,758.79 : x
  2. Step 2: Convert to fraction form
    20,549.69/30,826.32 = 5,758.79/x
  3. Step 3: Cross multiply
    20,549.69x = 30,826.32 × 5,758.79
  4. Step 4: Simplify right side
    20,549.69x = 177,522,303.35
  5. Step 5: Solve for x
    x = 177,522,303.35/20,549.69
  6. Step 6: Final answer
    x = 8,638.69

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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.