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Finding the Fourth Proportional to 12,749, 19,120.78 and 5,351.56

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Solution

The fourth proportional to 12,749, 19,120.78 and 5,351.56 is: 8,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749 : 19,120.78 = 5,351.56 : x
  2. Step 2: Convert to fraction form
    12,749/19,120.78 = 5,351.56/x
  3. Step 3: Cross multiply
    12,749x = 19,120.78 × 5,351.56
  4. Step 4: Simplify right side
    12,749x = 102,326,001.42
  5. Step 5: Solve for x
    x = 102,326,001.42/12,749
  6. Step 6: Final answer
    x = 8,026.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.