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Finding the Fourth Proportional to 19,770, 27,282.60 and 18,096.96

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Solution

The fourth proportional to 19,770, 27,282.60 and 18,096.96 is: 24,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770 : 27,282.60 = 18,096.96 : x
  2. Step 2: Convert to fraction form
    19,770/27,282.60 = 18,096.96/x
  3. Step 3: Cross multiply
    19,770x = 27,282.60 × 18,096.96
  4. Step 4: Simplify right side
    19,770x = 493,732,120.90
  5. Step 5: Solve for x
    x = 493,732,120.90/19,770
  6. Step 6: Final answer
    x = 24,973.80

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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.