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Finding the Fourth Proportional to 20,456.33, 30,684.88 and 6,416.05

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Solution

The fourth proportional to 20,456.33, 30,684.88 and 6,416.05 is: 9,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.33 : 30,684.88 = 6,416.05 : x
  2. Step 2: Convert to fraction form
    20,456.33/30,684.88 = 6,416.05/x
  3. Step 3: Cross multiply
    20,456.33x = 30,684.88 × 6,416.05
  4. Step 4: Simplify right side
    20,456.33x = 196,875,724.32
  5. Step 5: Solve for x
    x = 196,875,724.32/20,456.33
  6. Step 6: Final answer
    x = 9,624.20

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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.