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Finding the Fourth Proportional to 22,345.98, 33,533.10 and 12,491.73

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Solution

The fourth proportional to 22,345.98, 33,533.10 and 12,491.73 is: 18,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.98 : 33,533.10 = 12,491.73 : x
  2. Step 2: Convert to fraction form
    22,345.98/33,533.10 = 12,491.73/x
  3. Step 3: Cross multiply
    22,345.98x = 33,533.10 × 12,491.73
  4. Step 4: Simplify right side
    22,345.98x = 418,886,431.26
  5. Step 5: Solve for x
    x = 418,886,431.26/22,345.98
  6. Step 6: Final answer
    x = 18,745.49

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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.