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Finding the Fourth Proportional to 13,462.16, 18,577.26 and 7,493.72

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Solution

The fourth proportional to 13,462.16, 18,577.26 and 7,493.72 is: 10,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.16 : 18,577.26 = 7,493.72 : x
  2. Step 2: Convert to fraction form
    13,462.16/18,577.26 = 7,493.72/x
  3. Step 3: Cross multiply
    13,462.16x = 18,577.26 × 7,493.72
  4. Step 4: Simplify right side
    13,462.16x = 139,212,691.92
  5. Step 5: Solve for x
    x = 139,212,691.92/13,462.16
  6. Step 6: Final answer
    x = 10,341.04

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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.