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Finding the Fourth Proportional to 16,855.92, 23,261.04 and 9,783

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Solution

The fourth proportional to 16,855.92, 23,261.04 and 9,783 is: 13,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.92 : 23,261.04 = 9,783 : x
  2. Step 2: Convert to fraction form
    16,855.92/23,261.04 = 9,783/x
  3. Step 3: Cross multiply
    16,855.92x = 23,261.04 × 9,783
  4. Step 4: Simplify right side
    16,855.92x = 227,562,754.32
  5. Step 5: Solve for x
    x = 227,562,754.32/16,855.92
  6. Step 6: Final answer
    x = 13,500.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.