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Finding the Fourth Proportional to 12,538.96, 18,804.42 and 4,216.72

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Solution

The fourth proportional to 12,538.96, 18,804.42 and 4,216.72 is: 6,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.96 : 18,804.42 = 4,216.72 : x
  2. Step 2: Convert to fraction form
    12,538.96/18,804.42 = 4,216.72/x
  3. Step 3: Cross multiply
    12,538.96x = 18,804.42 × 4,216.72
  4. Step 4: Simplify right side
    12,538.96x = 79,292,973.90
  5. Step 5: Solve for x
    x = 79,292,973.90/12,538.96
  6. Step 6: Final answer
    x = 6,323.73

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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.