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Finding the Fourth Proportional to 13,427.90, 18,529.23 and 7,459.20

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Solution

The fourth proportional to 13,427.90, 18,529.23 and 7,459.20 is: 10,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.90 : 18,529.23 = 7,459.20 : x
  2. Step 2: Convert to fraction form
    13,427.90/18,529.23 = 7,459.20/x
  3. Step 3: Cross multiply
    13,427.90x = 18,529.23 × 7,459.20
  4. Step 4: Simplify right side
    13,427.90x = 138,213,232.42
  5. Step 5: Solve for x
    x = 138,213,232.42/13,427.90
  6. Step 6: Final answer
    x = 10,292.99

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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.