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Finding the Fourth Proportional to 12,842.44, 19,263.45 and 4,077.25

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Solution

The fourth proportional to 12,842.44, 19,263.45 and 4,077.25 is: 6,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.44 : 19,263.45 = 4,077.25 : x
  2. Step 2: Convert to fraction form
    12,842.44/19,263.45 = 4,077.25/x
  3. Step 3: Cross multiply
    12,842.44x = 19,263.45 × 4,077.25
  4. Step 4: Simplify right side
    12,842.44x = 78,541,901.51
  5. Step 5: Solve for x
    x = 78,541,901.51/12,842.44
  6. Step 6: Final answer
    x = 6,115.81

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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.