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Finding the Fourth Proportional to 16,415.37, 24,630.74 and 8,090.84

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Solution

The fourth proportional to 16,415.37, 24,630.74 and 8,090.84 is: 12,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.37 : 24,630.74 = 8,090.84 : x
  2. Step 2: Convert to fraction form
    16,415.37/24,630.74 = 8,090.84/x
  3. Step 3: Cross multiply
    16,415.37x = 24,630.74 × 8,090.84
  4. Step 4: Simplify right side
    16,415.37x = 199,283,376.42
  5. Step 5: Solve for x
    x = 199,283,376.42/16,415.37
  6. Step 6: Final answer
    x = 12,140.05

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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.