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Finding the Fourth Proportional to 12,768.69, 19,156.10 and 4,003.59

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Solution

The fourth proportional to 12,768.69, 19,156.10 and 4,003.59 is: 6,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.69 : 19,156.10 = 4,003.59 : x
  2. Step 2: Convert to fraction form
    12,768.69/19,156.10 = 4,003.59/x
  3. Step 3: Cross multiply
    12,768.69x = 19,156.10 × 4,003.59
  4. Step 4: Simplify right side
    12,768.69x = 76,693,222.22
  5. Step 5: Solve for x
    x = 76,693,222.22/12,768.69
  6. Step 6: Final answer
    x = 6,006.35

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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.