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Finding the Fourth Proportional to 20,162.64, 30,244.92 and 9,783.12

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Solution

The fourth proportional to 20,162.64, 30,244.92 and 9,783.12 is: 14,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.64 : 30,244.92 = 9,783.12 : x
  2. Step 2: Convert to fraction form
    20,162.64/30,244.92 = 9,783.12/x
  3. Step 3: Cross multiply
    20,162.64x = 30,244.92 × 9,783.12
  4. Step 4: Simplify right side
    20,162.64x = 295,889,681.75
  5. Step 5: Solve for x
    x = 295,889,681.75/20,162.64
  6. Step 6: Final answer
    x = 14,675.15

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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.