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Finding the Fourth Proportional to 16,438.36, 22,658.26 and 12,847

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Solution

The fourth proportional to 16,438.36, 22,658.26 and 12,847 is: 17,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.36 : 22,658.26 = 12,847 : x
  2. Step 2: Convert to fraction form
    16,438.36/22,658.26 = 12,847/x
  3. Step 3: Cross multiply
    16,438.36x = 22,658.26 × 12,847
  4. Step 4: Simplify right side
    16,438.36x = 291,090,666.22
  5. Step 5: Solve for x
    x = 291,090,666.22/16,438.36
  6. Step 6: Final answer
    x = 17,708.01

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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.