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Finding the Fourth Proportional to 13,540.40, 18,684.90 and 7,572.50

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Solution

The fourth proportional to 13,540.40, 18,684.90 and 7,572.50 is: 10,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.40 : 18,684.90 = 7,572.50 : x
  2. Step 2: Convert to fraction form
    13,540.40/18,684.90 = 7,572.50/x
  3. Step 3: Cross multiply
    13,540.40x = 18,684.90 × 7,572.50
  4. Step 4: Simplify right side
    13,540.40x = 141,491,311.83
  5. Step 5: Solve for x
    x = 141,491,311.83/13,540.40
  6. Step 6: Final answer
    x = 10,449.57

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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.