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Finding the Fourth Proportional to 13,462.02, 18,577.38 and 7,494.18

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Solution

The fourth proportional to 13,462.02, 18,577.38 and 7,494.18 is: 10,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.02 : 18,577.38 = 7,494.18 : x
  2. Step 2: Convert to fraction form
    13,462.02/18,577.38 = 7,494.18/x
  3. Step 3: Cross multiply
    13,462.02x = 18,577.38 × 7,494.18
  4. Step 4: Simplify right side
    13,462.02x = 139,222,229.65
  5. Step 5: Solve for x
    x = 139,222,229.65/13,462.02
  6. Step 6: Final answer
    x = 10,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.