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Finding the Fourth Proportional to 16,013.96, 24,025.25 and 14,471.72

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Solution

The fourth proportional to 16,013.96, 24,025.25 and 14,471.72 is: 21,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.96 : 24,025.25 = 14,471.72 : x
  2. Step 2: Convert to fraction form
    16,013.96/24,025.25 = 14,471.72/x
  3. Step 3: Cross multiply
    16,013.96x = 24,025.25 × 14,471.72
  4. Step 4: Simplify right side
    16,013.96x = 347,686,606.98
  5. Step 5: Solve for x
    x = 347,686,606.98/16,013.96
  6. Step 6: Final answer
    x = 21,711.48

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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.