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Finding the Fourth Proportional to 34,399.50, 51,601.68 and 13,623

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Solution

The fourth proportional to 34,399.50, 51,601.68 and 13,623 is: 20,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,399.50 : 51,601.68 = 13,623 : x
  2. Step 2: Convert to fraction form
    34,399.50/51,601.68 = 13,623/x
  3. Step 3: Cross multiply
    34,399.50x = 51,601.68 × 13,623
  4. Step 4: Simplify right side
    34,399.50x = 702,969,686.64
  5. Step 5: Solve for x
    x = 702,969,686.64/34,399.50
  6. Step 6: Final answer
    x = 20,435.46

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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.