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Finding the Fourth Proportional to 18,833.50, 25,990.50 and 10,450

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Solution

The fourth proportional to 18,833.50, 25,990.50 and 10,450 is: 14,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.50 : 25,990.50 = 10,450 : x
  2. Step 2: Convert to fraction form
    18,833.50/25,990.50 = 10,450/x
  3. Step 3: Cross multiply
    18,833.50x = 25,990.50 × 10,450
  4. Step 4: Simplify right side
    18,833.50x = 271,600,725
  5. Step 5: Solve for x
    x = 271,600,725/18,833.50
  6. Step 6: Final answer
    x = 14,421.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.