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Finding the Fourth Proportional to 12,842.56, 19,263.64 and 4,077.37

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Solution

The fourth proportional to 12,842.56, 19,263.64 and 4,077.37 is: 6,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.56 : 19,263.64 = 4,077.37 : x
  2. Step 2: Convert to fraction form
    12,842.56/19,263.64 = 4,077.37/x
  3. Step 3: Cross multiply
    12,842.56x = 19,263.64 × 4,077.37
  4. Step 4: Simplify right side
    12,842.56x = 78,544,987.83
  5. Step 5: Solve for x
    x = 78,544,987.83/12,842.56
  6. Step 6: Final answer
    x = 6,115.99

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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.