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Finding the Fourth Proportional to 14,786.40, 20,405.09 and 8,072.00

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Solution

The fourth proportional to 14,786.40, 20,405.09 and 8,072.00 is: 11,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.40 : 20,405.09 = 8,072.00 : x
  2. Step 2: Convert to fraction form
    14,786.40/20,405.09 = 8,072.00/x
  3. Step 3: Cross multiply
    14,786.40x = 20,405.09 × 8,072.00
  4. Step 4: Simplify right side
    14,786.40x = 164,709,973.23
  5. Step 5: Solve for x
    x = 164,709,973.23/14,786.40
  6. Step 6: Final answer
    x = 11,139.29

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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.