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Finding the Fourth Proportional to 16,182.44, 24,251.10 and 12,230.46

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Solution

The fourth proportional to 16,182.44, 24,251.10 and 12,230.46 is: 18,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.44 : 24,251.10 = 12,230.46 : x
  2. Step 2: Convert to fraction form
    16,182.44/24,251.10 = 12,230.46/x
  3. Step 3: Cross multiply
    16,182.44x = 24,251.10 × 12,230.46
  4. Step 4: Simplify right side
    16,182.44x = 296,602,108.51
  5. Step 5: Solve for x
    x = 296,602,108.51/16,182.44
  6. Step 6: Final answer
    x = 18,328.64

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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.