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Finding the Fourth Proportional to 16,408.64, 22,628.76 and 14,513.24

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Solution

The fourth proportional to 16,408.64, 22,628.76 and 14,513.24 is: 20,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.64 : 22,628.76 = 14,513.24 : x
  2. Step 2: Convert to fraction form
    16,408.64/22,628.76 = 14,513.24/x
  3. Step 3: Cross multiply
    16,408.64x = 22,628.76 × 14,513.24
  4. Step 4: Simplify right side
    16,408.64x = 328,416,624.78
  5. Step 5: Solve for x
    x = 328,416,624.78/16,408.64
  6. Step 6: Final answer
    x = 20,014.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.