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Finding the Fourth Proportional to 13,427.67, 18,530.17 and 7,459.90

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Solution

The fourth proportional to 13,427.67, 18,530.17 and 7,459.90 is: 10,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.67 : 18,530.17 = 7,459.90 : x
  2. Step 2: Convert to fraction form
    13,427.67/18,530.17 = 7,459.90/x
  3. Step 3: Cross multiply
    13,427.67x = 18,530.17 × 7,459.90
  4. Step 4: Simplify right side
    13,427.67x = 138,233,215.18
  5. Step 5: Solve for x
    x = 138,233,215.18/13,427.67
  6. Step 6: Final answer
    x = 10,294.65

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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.