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Finding the Fourth Proportional to 13,977.51, 20,969.91 and 5,212.50

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Solution

The fourth proportional to 13,977.51, 20,969.91 and 5,212.50 is: 7,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.51 : 20,969.91 = 5,212.50 : x
  2. Step 2: Convert to fraction form
    13,977.51/20,969.91 = 5,212.50/x
  3. Step 3: Cross multiply
    13,977.51x = 20,969.91 × 5,212.50
  4. Step 4: Simplify right side
    13,977.51x = 109,305,655.88
  5. Step 5: Solve for x
    x = 109,305,655.88/13,977.51
  6. Step 6: Final answer
    x = 7,820.11

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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.