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Finding the Fourth Proportional to 12,419.56, 17,138.80 and 8,235.64

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Solution

The fourth proportional to 12,419.56, 17,138.80 and 8,235.64 is: 11,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.56 : 17,138.80 = 8,235.64 : x
  2. Step 2: Convert to fraction form
    12,419.56/17,138.80 = 8,235.64/x
  3. Step 3: Cross multiply
    12,419.56x = 17,138.80 × 8,235.64
  4. Step 4: Simplify right side
    12,419.56x = 141,148,986.83
  5. Step 5: Solve for x
    x = 141,148,986.83/12,419.56
  6. Step 6: Final answer
    x = 11,365.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.