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Finding the Fourth Proportional to 16,412.56, 24,565.32 and 12,028.96

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Solution

The fourth proportional to 16,412.56, 24,565.32 and 12,028.96 is: 18,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.56 : 24,565.32 = 12,028.96 : x
  2. Step 2: Convert to fraction form
    16,412.56/24,565.32 = 12,028.96/x
  3. Step 3: Cross multiply
    16,412.56x = 24,565.32 × 12,028.96
  4. Step 4: Simplify right side
    16,412.56x = 295,495,251.67
  5. Step 5: Solve for x
    x = 295,495,251.67/16,412.56
  6. Step 6: Final answer
    x = 18,004.21

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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.