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Finding the Fourth Proportional to 13,461.54, 18,577.10 and 7,412.49

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Solution

The fourth proportional to 13,461.54, 18,577.10 and 7,412.49 is: 10,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.54 : 18,577.10 = 7,412.49 : x
  2. Step 2: Convert to fraction form
    13,461.54/18,577.10 = 7,412.49/x
  3. Step 3: Cross multiply
    13,461.54x = 18,577.10 × 7,412.49
  4. Step 4: Simplify right side
    13,461.54x = 137,702,567.98
  5. Step 5: Solve for x
    x = 137,702,567.98/13,461.54
  6. Step 6: Final answer
    x = 10,229.33

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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.