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Finding the Fourth Proportional to 13,897.80, 20,846.77 and 3,509.55

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Solution

The fourth proportional to 13,897.80, 20,846.77 and 3,509.55 is: 5,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.80 : 20,846.77 = 3,509.55 : x
  2. Step 2: Convert to fraction form
    13,897.80/20,846.77 = 3,509.55/x
  3. Step 3: Cross multiply
    13,897.80x = 20,846.77 × 3,509.55
  4. Step 4: Simplify right side
    13,897.80x = 73,162,772.88
  5. Step 5: Solve for x
    x = 73,162,772.88/13,897.80
  6. Step 6: Final answer
    x = 5,264.34

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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.