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Finding the Fourth Proportional to 16,855.92, 23,261.42 and 9,302.57

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Solution

The fourth proportional to 16,855.92, 23,261.42 and 9,302.57 is: 12,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.92 : 23,261.42 = 9,302.57 : x
  2. Step 2: Convert to fraction form
    16,855.92/23,261.42 = 9,302.57/x
  3. Step 3: Cross multiply
    16,855.92x = 23,261.42 × 9,302.57
  4. Step 4: Simplify right side
    16,855.92x = 216,390,825.03
  5. Step 5: Solve for x
    x = 216,390,825.03/16,855.92
  6. Step 6: Final answer
    x = 12,837.68

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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.