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Finding the Fourth Proportional to 13,986.16, 20,969.52 and 5,218.72

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Solution

The fourth proportional to 13,986.16, 20,969.52 and 5,218.72 is: 7,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.16 : 20,969.52 = 5,218.72 : x
  2. Step 2: Convert to fraction form
    13,986.16/20,969.52 = 5,218.72/x
  3. Step 3: Cross multiply
    13,986.16x = 20,969.52 × 5,218.72
  4. Step 4: Simplify right side
    13,986.16x = 109,434,053.41
  5. Step 5: Solve for x
    x = 109,434,053.41/13,986.16
  6. Step 6: Final answer
    x = 7,824.45

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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.