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Finding the Fourth Proportional to 15,228.49, 22,846.62 and 5,865.99

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Solution

The fourth proportional to 15,228.49, 22,846.62 and 5,865.99 is: 8,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.49 : 22,846.62 = 5,865.99 : x
  2. Step 2: Convert to fraction form
    15,228.49/22,846.62 = 5,865.99/x
  3. Step 3: Cross multiply
    15,228.49x = 22,846.62 × 5,865.99
  4. Step 4: Simplify right side
    15,228.49x = 134,018,173.54
  5. Step 5: Solve for x
    x = 134,018,173.54/15,228.49
  6. Step 6: Final answer
    x = 8,800.49

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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.