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Finding the Fourth Proportional to 13,461.82, 18,577.82 and 7,494.14

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Solution

The fourth proportional to 13,461.82, 18,577.82 and 7,494.14 is: 10,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.82 : 18,577.82 = 7,494.14 : x
  2. Step 2: Convert to fraction form
    13,461.82/18,577.82 = 7,494.14/x
  3. Step 3: Cross multiply
    13,461.82x = 18,577.82 × 7,494.14
  4. Step 4: Simplify right side
    13,461.82x = 139,224,849.15
  5. Step 5: Solve for x
    x = 139,224,849.15/13,461.82
  6. Step 6: Final answer
    x = 10,342.20

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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.