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Finding the Fourth Proportional to 12,539.58, 18,822.60 and 12,257.16

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Solution

The fourth proportional to 12,539.58, 18,822.60 and 12,257.16 is: 18,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.58 : 18,822.60 = 12,257.16 : x
  2. Step 2: Convert to fraction form
    12,539.58/18,822.60 = 12,257.16/x
  3. Step 3: Cross multiply
    12,539.58x = 18,822.60 × 12,257.16
  4. Step 4: Simplify right side
    12,539.58x = 230,711,619.82
  5. Step 5: Solve for x
    x = 230,711,619.82/12,539.58
  6. Step 6: Final answer
    x = 18,398.67

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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.