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Finding the Fourth Proportional to 16,285.50, 24,428.25 and 5,897.25

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Solution

The fourth proportional to 16,285.50, 24,428.25 and 5,897.25 is: 8,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.50 : 24,428.25 = 5,897.25 : x
  2. Step 2: Convert to fraction form
    16,285.50/24,428.25 = 5,897.25/x
  3. Step 3: Cross multiply
    16,285.50x = 24,428.25 × 5,897.25
  4. Step 4: Simplify right side
    16,285.50x = 144,059,497.31
  5. Step 5: Solve for x
    x = 144,059,497.31/16,285.50
  6. Step 6: Final answer
    x = 8,845.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.