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Finding the Fourth Proportional to 12,254.63, 18,374.54 and 5,498.98

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Solution

The fourth proportional to 12,254.63, 18,374.54 and 5,498.98 is: 8,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.63 : 18,374.54 = 5,498.98 : x
  2. Step 2: Convert to fraction form
    12,254.63/18,374.54 = 5,498.98/x
  3. Step 3: Cross multiply
    12,254.63x = 18,374.54 × 5,498.98
  4. Step 4: Simplify right side
    12,254.63x = 101,041,188.99
  5. Step 5: Solve for x
    x = 101,041,188.99/12,254.63
  6. Step 6: Final answer
    x = 8,245.15

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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.