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Finding the Fourth Proportional to 13,544.64, 20,283.95 and 9,372.94

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Solution

The fourth proportional to 13,544.64, 20,283.95 and 9,372.94 is: 14,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.64 : 20,283.95 = 9,372.94 : x
  2. Step 2: Convert to fraction form
    13,544.64/20,283.95 = 9,372.94/x
  3. Step 3: Cross multiply
    13,544.64x = 20,283.95 × 9,372.94
  4. Step 4: Simplify right side
    13,544.64x = 190,120,219.04
  5. Step 5: Solve for x
    x = 190,120,219.04/13,544.64
  6. Step 6: Final answer
    x = 14,036.56

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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.