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Finding the Fourth Proportional to 13,462.05, 18,577.35 and 7,494.24

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Solution

The fourth proportional to 13,462.05, 18,577.35 and 7,494.24 is: 10,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.05 : 18,577.35 = 7,494.24 : x
  2. Step 2: Convert to fraction form
    13,462.05/18,577.35 = 7,494.24/x
  3. Step 3: Cross multiply
    13,462.05x = 18,577.35 × 7,494.24
  4. Step 4: Simplify right side
    13,462.05x = 139,223,119.46
  5. Step 5: Solve for x
    x = 139,223,119.46/13,462.05
  6. Step 6: Final answer
    x = 10,341.90

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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.