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Finding the Fourth Proportional to 16,199.32, 24,261.16 and 12,471.96

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Solution

The fourth proportional to 16,199.32, 24,261.16 and 12,471.96 is: 18,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.32 : 24,261.16 = 12,471.96 : x
  2. Step 2: Convert to fraction form
    16,199.32/24,261.16 = 12,471.96/x
  3. Step 3: Cross multiply
    16,199.32x = 24,261.16 × 12,471.96
  4. Step 4: Simplify right side
    16,199.32x = 302,584,217.07
  5. Step 5: Solve for x
    x = 302,584,217.07/16,199.32
  6. Step 6: Final answer
    x = 18,678.82

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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.