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Finding the Fourth Proportional to 13,448, 18,544.20 and 8,140.88

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Solution

The fourth proportional to 13,448, 18,544.20 and 8,140.88 is: 11,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448 : 18,544.20 = 8,140.88 : x
  2. Step 2: Convert to fraction form
    13,448/18,544.20 = 8,140.88/x
  3. Step 3: Cross multiply
    13,448x = 18,544.20 × 8,140.88
  4. Step 4: Simplify right side
    13,448x = 150,966,106.90
  5. Step 5: Solve for x
    x = 150,966,106.90/13,448
  6. Step 6: Final answer
    x = 11,225.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.