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Finding the Fourth Proportional to 16,402.94, 22,634.02 and 9,231.98

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Solution

The fourth proportional to 16,402.94, 22,634.02 and 9,231.98 is: 12,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.94 : 22,634.02 = 9,231.98 : x
  2. Step 2: Convert to fraction form
    16,402.94/22,634.02 = 9,231.98/x
  3. Step 3: Cross multiply
    16,402.94x = 22,634.02 × 9,231.98
  4. Step 4: Simplify right side
    16,402.94x = 208,956,819.96
  5. Step 5: Solve for x
    x = 208,956,819.96/16,402.94
  6. Step 6: Final answer
    x = 12,738.99

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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.