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Finding the Fourth Proportional to 16,855.68, 25,283.40 and 13,161

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Solution

The fourth proportional to 16,855.68, 25,283.40 and 13,161 is: 19,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.68 : 25,283.40 = 13,161 : x
  2. Step 2: Convert to fraction form
    16,855.68/25,283.40 = 13,161/x
  3. Step 3: Cross multiply
    16,855.68x = 25,283.40 × 13,161
  4. Step 4: Simplify right side
    16,855.68x = 332,754,827.40
  5. Step 5: Solve for x
    x = 332,754,827.40/16,855.68
  6. Step 6: Final answer
    x = 19,741.41

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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.