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Finding the Fourth Proportional to 13,969.44, 20,953.20 and 5,200.32

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Solution

The fourth proportional to 13,969.44, 20,953.20 and 5,200.32 is: 7,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.44 : 20,953.20 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    13,969.44/20,953.20 = 5,200.32/x
  3. Step 3: Cross multiply
    13,969.44x = 20,953.20 × 5,200.32
  4. Step 4: Simplify right side
    13,969.44x = 108,963,345.02
  5. Step 5: Solve for x
    x = 108,963,345.02/13,969.44
  6. Step 6: Final answer
    x = 7,800.12

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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.