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Finding the Fourth Proportional to 13,580.85, 18,740.64 and 7,531.41

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Solution

The fourth proportional to 13,580.85, 18,740.64 and 7,531.41 is: 10,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.85 : 18,740.64 = 7,531.41 : x
  2. Step 2: Convert to fraction form
    13,580.85/18,740.64 = 7,531.41/x
  3. Step 3: Cross multiply
    13,580.85x = 18,740.64 × 7,531.41
  4. Step 4: Simplify right side
    13,580.85x = 141,143,542.02
  5. Step 5: Solve for x
    x = 141,143,542.02/13,580.85
  6. Step 6: Final answer
    x = 10,392.83

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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.