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Finding the Fourth Proportional to 12,771.84, 19,157.76 and 4,014.24

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Solution

The fourth proportional to 12,771.84, 19,157.76 and 4,014.24 is: 6,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.84 : 19,157.76 = 4,014.24 : x
  2. Step 2: Convert to fraction form
    12,771.84/19,157.76 = 4,014.24/x
  3. Step 3: Cross multiply
    12,771.84x = 19,157.76 × 4,014.24
  4. Step 4: Simplify right side
    12,771.84x = 76,903,846.50
  5. Step 5: Solve for x
    x = 76,903,846.50/12,771.84
  6. Step 6: Final answer
    x = 6,021.36

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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.