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Finding the Fourth Proportional to 19,635, 27,096.09 and 11,677.05

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Solution

The fourth proportional to 19,635, 27,096.09 and 11,677.05 is: 16,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635 : 27,096.09 = 11,677.05 : x
  2. Step 2: Convert to fraction form
    19,635/27,096.09 = 11,677.05/x
  3. Step 3: Cross multiply
    19,635x = 27,096.09 × 11,677.05
  4. Step 4: Simplify right side
    19,635x = 316,402,397.73
  5. Step 5: Solve for x
    x = 316,402,397.73/19,635
  6. Step 6: Final answer
    x = 16,114.20

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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.