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Finding the Fourth Proportional to 16,855.68, 23,260.80 and 9,782.40

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Solution

The fourth proportional to 16,855.68, 23,260.80 and 9,782.40 is: 13,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.68 : 23,260.80 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    16,855.68/23,260.80 = 9,782.40/x
  3. Step 3: Cross multiply
    16,855.68x = 23,260.80 × 9,782.40
  4. Step 4: Simplify right side
    16,855.68x = 227,546,449.92
  5. Step 5: Solve for x
    x = 227,546,449.92/16,855.68
  6. Step 6: Final answer
    x = 13,499.69

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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.