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Finding the Fourth Proportional to 12,771.90, 19,156.71 and 4,450.50

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Solution

The fourth proportional to 12,771.90, 19,156.71 and 4,450.50 is: 6,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.90 : 19,156.71 = 4,450.50 : x
  2. Step 2: Convert to fraction form
    12,771.90/19,156.71 = 4,450.50/x
  3. Step 3: Cross multiply
    12,771.90x = 19,156.71 × 4,450.50
  4. Step 4: Simplify right side
    12,771.90x = 85,256,937.86
  5. Step 5: Solve for x
    x = 85,256,937.86/12,771.90
  6. Step 6: Final answer
    x = 6,675.35

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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.