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Finding the Fourth Proportional to 16,685.66, 23,031.96 and 9,614.90

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Solution

The fourth proportional to 16,685.66, 23,031.96 and 9,614.90 is: 13,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.66 : 23,031.96 = 9,614.90 : x
  2. Step 2: Convert to fraction form
    16,685.66/23,031.96 = 9,614.90/x
  3. Step 3: Cross multiply
    16,685.66x = 23,031.96 × 9,614.90
  4. Step 4: Simplify right side
    16,685.66x = 221,449,992.20
  5. Step 5: Solve for x
    x = 221,449,992.20/16,685.66
  6. Step 6: Final answer
    x = 13,271.87

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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.