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Finding the Fourth Proportional to 19,689.36, 29,502.70 and 13,777.44

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Solution

The fourth proportional to 19,689.36, 29,502.70 and 13,777.44 is: 20,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.36 : 29,502.70 = 13,777.44 : x
  2. Step 2: Convert to fraction form
    19,689.36/29,502.70 = 13,777.44/x
  3. Step 3: Cross multiply
    19,689.36x = 29,502.70 × 13,777.44
  4. Step 4: Simplify right side
    19,689.36x = 406,471,679.09
  5. Step 5: Solve for x
    x = 406,471,679.09/19,689.36
  6. Step 6: Final answer
    x = 20,644.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.