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Finding the Fourth Proportional to 13,427.62, 18,530.16 and 7,459.30

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Solution

The fourth proportional to 13,427.62, 18,530.16 and 7,459.30 is: 10,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.62 : 18,530.16 = 7,459.30 : x
  2. Step 2: Convert to fraction form
    13,427.62/18,530.16 = 7,459.30/x
  3. Step 3: Cross multiply
    13,427.62x = 18,530.16 × 7,459.30
  4. Step 4: Simplify right side
    13,427.62x = 138,222,022.49
  5. Step 5: Solve for x
    x = 138,222,022.49/13,427.62
  6. Step 6: Final answer
    x = 10,293.86

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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.