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Finding the Fourth Proportional to 12,774.77, 19,165.39 and 4,009.76

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Solution

The fourth proportional to 12,774.77, 19,165.39 and 4,009.76 is: 6,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.77 : 19,165.39 = 4,009.76 : x
  2. Step 2: Convert to fraction form
    12,774.77/19,165.39 = 4,009.76/x
  3. Step 3: Cross multiply
    12,774.77x = 19,165.39 × 4,009.76
  4. Step 4: Simplify right side
    12,774.77x = 76,848,508.36
  5. Step 5: Solve for x
    x = 76,848,508.36/12,774.77
  6. Step 6: Final answer
    x = 6,015.65

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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.