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Finding the Fourth Proportional to 20,495.36, 30,718.72 and 8,783.84

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Solution

The fourth proportional to 20,495.36, 30,718.72 and 8,783.84 is: 13,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.36 : 30,718.72 = 8,783.84 : x
  2. Step 2: Convert to fraction form
    20,495.36/30,718.72 = 8,783.84/x
  3. Step 3: Cross multiply
    20,495.36x = 30,718.72 × 8,783.84
  4. Step 4: Simplify right side
    20,495.36x = 269,828,321.48
  5. Step 5: Solve for x
    x = 269,828,321.48/20,495.36
  6. Step 6: Final answer
    x = 13,165.34

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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.