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Finding the Fourth Proportional to 12,774.36, 19,138.48 and 5,365.56

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Solution

The fourth proportional to 12,774.36, 19,138.48 and 5,365.56 is: 8,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.36 : 19,138.48 = 5,365.56 : x
  2. Step 2: Convert to fraction form
    12,774.36/19,138.48 = 5,365.56/x
  3. Step 3: Cross multiply
    12,774.36x = 19,138.48 × 5,365.56
  4. Step 4: Simplify right side
    12,774.36x = 102,688,662.75
  5. Step 5: Solve for x
    x = 102,688,662.75/12,774.36
  6. Step 6: Final answer
    x = 8,038.65

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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.