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Finding the Fourth Proportional to 15,471.21, 23,211.41 and 4,941.90

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Solution

The fourth proportional to 15,471.21, 23,211.41 and 4,941.90 is: 7,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.21 : 23,211.41 = 4,941.90 : x
  2. Step 2: Convert to fraction form
    15,471.21/23,211.41 = 4,941.90/x
  3. Step 3: Cross multiply
    15,471.21x = 23,211.41 × 4,941.90
  4. Step 4: Simplify right side
    15,471.21x = 114,708,442.37
  5. Step 5: Solve for x
    x = 114,708,442.37/15,471.21
  6. Step 6: Final answer
    x = 7,414.32

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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.