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Finding the Fourth Proportional to 16,838.35, 23,237.08 and 9,284.96

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Solution

The fourth proportional to 16,838.35, 23,237.08 and 9,284.96 is: 12,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.35 : 23,237.08 = 9,284.96 : x
  2. Step 2: Convert to fraction form
    16,838.35/23,237.08 = 9,284.96/x
  3. Step 3: Cross multiply
    16,838.35x = 23,237.08 × 9,284.96
  4. Step 4: Simplify right side
    16,838.35x = 215,755,393.20
  5. Step 5: Solve for x
    x = 215,755,393.20/16,838.35
  6. Step 6: Final answer
    x = 12,813.34

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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.