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Finding the Fourth Proportional to 23,838.50, 32,903.18 and 16,287.88

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Solution

The fourth proportional to 23,838.50, 32,903.18 and 16,287.88 is: 22,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.50 : 32,903.18 = 16,287.88 : x
  2. Step 2: Convert to fraction form
    23,838.50/32,903.18 = 16,287.88/x
  3. Step 3: Cross multiply
    23,838.50x = 32,903.18 × 16,287.88
  4. Step 4: Simplify right side
    23,838.50x = 535,923,047.46
  5. Step 5: Solve for x
    x = 535,923,047.46/23,838.50
  6. Step 6: Final answer
    x = 22,481.41

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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.