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Finding the Fourth Proportional to 12,769.18, 19,151 and 4,002.94

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Solution

The fourth proportional to 12,769.18, 19,151 and 4,002.94 is: 6,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.18 : 19,151 = 4,002.94 : x
  2. Step 2: Convert to fraction form
    12,769.18/19,151 = 4,002.94/x
  3. Step 3: Cross multiply
    12,769.18x = 19,151 × 4,002.94
  4. Step 4: Simplify right side
    12,769.18x = 76,660,303.94
  5. Step 5: Solve for x
    x = 76,660,303.94/12,769.18
  6. Step 6: Final answer
    x = 6,003.54

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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.