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Finding the Fourth Proportional to 13,518.28, 18,654.90 and 7,549.72

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Solution

The fourth proportional to 13,518.28, 18,654.90 and 7,549.72 is: 10,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.28 : 18,654.90 = 7,549.72 : x
  2. Step 2: Convert to fraction form
    13,518.28/18,654.90 = 7,549.72/x
  3. Step 3: Cross multiply
    13,518.28x = 18,654.90 × 7,549.72
  4. Step 4: Simplify right side
    13,518.28x = 140,839,271.63
  5. Step 5: Solve for x
    x = 140,839,271.63/13,518.28
  6. Step 6: Final answer
    x = 10,418.43

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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.