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Finding the Fourth Proportional to 23,838.92, 32,903.76 and 16,288.30

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Solution

The fourth proportional to 23,838.92, 32,903.76 and 16,288.30 is: 22,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.92 : 32,903.76 = 16,288.30 : x
  2. Step 2: Convert to fraction form
    23,838.92/32,903.76 = 16,288.30/x
  3. Step 3: Cross multiply
    23,838.92x = 32,903.76 × 16,288.30
  4. Step 4: Simplify right side
    23,838.92x = 535,946,314.01
  5. Step 5: Solve for x
    x = 535,946,314.01/23,838.92
  6. Step 6: Final answer
    x = 22,481.99

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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.