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Finding the Fourth Proportional to 20,810.80, 31,227.54 and 7,661.26

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Solution

The fourth proportional to 20,810.80, 31,227.54 and 7,661.26 is: 11,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.80 : 31,227.54 = 7,661.26 : x
  2. Step 2: Convert to fraction form
    20,810.80/31,227.54 = 7,661.26/x
  3. Step 3: Cross multiply
    20,810.80x = 31,227.54 × 7,661.26
  4. Step 4: Simplify right side
    20,810.80x = 239,242,303.10
  5. Step 5: Solve for x
    x = 239,242,303.10/20,810.80
  6. Step 6: Final answer
    x = 11,496.06

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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.