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Finding the Fourth Proportional to 16,687.68, 23,027.04 and 9,614.40

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Solution

The fourth proportional to 16,687.68, 23,027.04 and 9,614.40 is: 13,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,687.68 : 23,027.04 = 9,614.40 : x
  2. Step 2: Convert to fraction form
    16,687.68/23,027.04 = 9,614.40/x
  3. Step 3: Cross multiply
    16,687.68x = 23,027.04 × 9,614.40
  4. Step 4: Simplify right side
    16,687.68x = 221,391,173.38
  5. Step 5: Solve for x
    x = 221,391,173.38/16,687.68
  6. Step 6: Final answer
    x = 13,266.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.