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Finding the Fourth Proportional to 13,758.21, 20,637.31 and 13,057.00

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Solution

The fourth proportional to 13,758.21, 20,637.31 and 13,057.00 is: 19,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.21 : 20,637.31 = 13,057.00 : x
  2. Step 2: Convert to fraction form
    13,758.21/20,637.31 = 13,057.00/x
  3. Step 3: Cross multiply
    13,758.21x = 20,637.31 × 13,057.00
  4. Step 4: Simplify right side
    13,758.21x = 269,461,239.79
  5. Step 5: Solve for x
    x = 269,461,239.79/13,758.21
  6. Step 6: Final answer
    x = 19,585.49

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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.