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Finding the Fourth Proportional to 16,421.05, 22,659.69 and 9,706.96

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Solution

The fourth proportional to 16,421.05, 22,659.69 and 9,706.96 is: 13,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.05 : 22,659.69 = 9,706.96 : x
  2. Step 2: Convert to fraction form
    16,421.05/22,659.69 = 9,706.96/x
  3. Step 3: Cross multiply
    16,421.05x = 22,659.69 × 9,706.96
  4. Step 4: Simplify right side
    16,421.05x = 219,956,704.44
  5. Step 5: Solve for x
    x = 219,956,704.44/16,421.05
  6. Step 6: Final answer
    x = 13,394.80

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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.