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Finding the Fourth Proportional to 23,836.50, 32,900.42 and 16,285.88

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Solution

The fourth proportional to 23,836.50, 32,900.42 and 16,285.88 is: 22,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.50 : 32,900.42 = 16,285.88 : x
  2. Step 2: Convert to fraction form
    23,836.50/32,900.42 = 16,285.88/x
  3. Step 3: Cross multiply
    23,836.50x = 32,900.42 × 16,285.88
  4. Step 4: Simplify right side
    23,836.50x = 535,812,292.89
  5. Step 5: Solve for x
    x = 535,812,292.89/23,836.50
  6. Step 6: Final answer
    x = 22,478.65

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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.