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Finding the Fourth Proportional to 34,591.24, 51,907.86 and 13,813

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Solution

The fourth proportional to 34,591.24, 51,907.86 and 13,813 is: 20,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,591.24 : 51,907.86 = 13,813 : x
  2. Step 2: Convert to fraction form
    34,591.24/51,907.86 = 13,813/x
  3. Step 3: Cross multiply
    34,591.24x = 51,907.86 × 13,813
  4. Step 4: Simplify right side
    34,591.24x = 717,003,270.18
  5. Step 5: Solve for x
    x = 717,003,270.18/34,591.24
  6. Step 6: Final answer
    x = 20,727.89

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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.