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Finding the Fourth Proportional to 13,462.40, 18,577.12 and 7,493.92

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Solution

The fourth proportional to 13,462.40, 18,577.12 and 7,493.92 is: 10,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.40 : 18,577.12 = 7,493.92 : x
  2. Step 2: Convert to fraction form
    13,462.40/18,577.12 = 7,493.92/x
  3. Step 3: Cross multiply
    13,462.40x = 18,577.12 × 7,493.92
  4. Step 4: Simplify right side
    13,462.40x = 139,215,451.11
  5. Step 5: Solve for x
    x = 139,215,451.11/13,462.40
  6. Step 6: Final answer
    x = 10,341.06

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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.