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Finding the Fourth Proportional to 12,701, 19,051.32 and 7,704.56

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Solution

The fourth proportional to 12,701, 19,051.32 and 7,704.56 is: 11,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701 : 19,051.32 = 7,704.56 : x
  2. Step 2: Convert to fraction form
    12,701/19,051.32 = 7,704.56/x
  3. Step 3: Cross multiply
    12,701x = 19,051.32 × 7,704.56
  4. Step 4: Simplify right side
    12,701x = 146,782,038.02
  5. Step 5: Solve for x
    x = 146,782,038.02/12,701
  6. Step 6: Final answer
    x = 11,556.73

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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.