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Finding the Fourth Proportional to 16,838.54, 23,237.34 and 9,285.17

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Solution

The fourth proportional to 16,838.54, 23,237.34 and 9,285.17 is: 12,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.54 : 23,237.34 = 9,285.17 : x
  2. Step 2: Convert to fraction form
    16,838.54/23,237.34 = 9,285.17/x
  3. Step 3: Cross multiply
    16,838.54x = 23,237.34 × 9,285.17
  4. Step 4: Simplify right side
    16,838.54x = 215,762,652.25
  5. Step 5: Solve for x
    x = 215,762,652.25/16,838.54
  6. Step 6: Final answer
    x = 12,813.62

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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.