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Finding the Fourth Proportional to 15,271.82, 22,908 and 4,883.57

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Solution

The fourth proportional to 15,271.82, 22,908 and 4,883.57 is: 7,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,271.82 : 22,908 = 4,883.57 : x
  2. Step 2: Convert to fraction form
    15,271.82/22,908 = 4,883.57/x
  3. Step 3: Cross multiply
    15,271.82x = 22,908 × 4,883.57
  4. Step 4: Simplify right side
    15,271.82x = 111,872,821.56
  5. Step 5: Solve for x
    x = 111,872,821.56/15,271.82
  6. Step 6: Final answer
    x = 7,325.44

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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.