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Finding the Fourth Proportional to 13,973.60, 20,961.39 and 5,208.50

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Solution

The fourth proportional to 13,973.60, 20,961.39 and 5,208.50 is: 7,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.60 : 20,961.39 = 5,208.50 : x
  2. Step 2: Convert to fraction form
    13,973.60/20,961.39 = 5,208.50/x
  3. Step 3: Cross multiply
    13,973.60x = 20,961.39 × 5,208.50
  4. Step 4: Simplify right side
    13,973.60x = 109,177,399.82
  5. Step 5: Solve for x
    x = 109,177,399.82/13,973.60
  6. Step 6: Final answer
    x = 7,813.12

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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.