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Finding the Fourth Proportional to 16,838.87, 23,237.81 and 9,285.47

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Solution

The fourth proportional to 16,838.87, 23,237.81 and 9,285.47 is: 12,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.87 : 23,237.81 = 9,285.47 : x
  2. Step 2: Convert to fraction form
    16,838.87/23,237.81 = 9,285.47/x
  3. Step 3: Cross multiply
    16,838.87x = 23,237.81 × 9,285.47
  4. Step 4: Simplify right side
    16,838.87x = 215,773,987.62
  5. Step 5: Solve for x
    x = 215,773,987.62/16,838.87
  6. Step 6: Final answer
    x = 12,814.04

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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.