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Finding the Fourth Proportional to 18,540.28, 25,564 and 13,506.78

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Solution

The fourth proportional to 18,540.28, 25,564 and 13,506.78 is: 18,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.28 : 25,564 = 13,506.78 : x
  2. Step 2: Convert to fraction form
    18,540.28/25,564 = 13,506.78/x
  3. Step 3: Cross multiply
    18,540.28x = 25,564 × 13,506.78
  4. Step 4: Simplify right side
    18,540.28x = 345,287,323.92
  5. Step 5: Solve for x
    x = 345,287,323.92/18,540.28
  6. Step 6: Final answer
    x = 18,623.63

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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.