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Finding the Fourth Proportional to 13,577.67, 18,736.40 and 7,913.34

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Solution

The fourth proportional to 13,577.67, 18,736.40 and 7,913.34 is: 10,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.67 : 18,736.40 = 7,913.34 : x
  2. Step 2: Convert to fraction form
    13,577.67/18,736.40 = 7,913.34/x
  3. Step 3: Cross multiply
    13,577.67x = 18,736.40 × 7,913.34
  4. Step 4: Simplify right side
    13,577.67x = 148,267,464.01
  5. Step 5: Solve for x
    x = 148,267,464.01/13,577.67
  6. Step 6: Final answer
    x = 10,919.95

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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.