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Finding the Fourth Proportional to 23,779.82, 32,808.71 and 13,706.88

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Solution

The fourth proportional to 23,779.82, 32,808.71 and 13,706.88 is: 18,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.82 : 32,808.71 = 13,706.88 : x
  2. Step 2: Convert to fraction form
    23,779.82/32,808.71 = 13,706.88/x
  3. Step 3: Cross multiply
    23,779.82x = 32,808.71 × 13,706.88
  4. Step 4: Simplify right side
    23,779.82x = 449,704,982.39
  5. Step 5: Solve for x
    x = 449,704,982.39/23,779.82
  6. Step 6: Final answer
    x = 18,911.21

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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.