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Finding the Fourth Proportional to 16,685.42, 23,031 and 9,616.55

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Solution

The fourth proportional to 16,685.42, 23,031 and 9,616.55 is: 13,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.42 : 23,031 = 9,616.55 : x
  2. Step 2: Convert to fraction form
    16,685.42/23,031 = 9,616.55/x
  3. Step 3: Cross multiply
    16,685.42x = 23,031 × 9,616.55
  4. Step 4: Simplify right side
    16,685.42x = 221,478,647.90
  5. Step 5: Solve for x
    x = 221,478,647.90/16,685.42
  6. Step 6: Final answer
    x = 13,273.79

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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.