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Finding the Fourth Proportional to 13,427.18, 18,529.49 and 7,459.40

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Solution

The fourth proportional to 13,427.18, 18,529.49 and 7,459.40 is: 10,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.18 : 18,529.49 = 7,459.40 : x
  2. Step 2: Convert to fraction form
    13,427.18/18,529.49 = 7,459.40/x
  3. Step 3: Cross multiply
    13,427.18x = 18,529.49 × 7,459.40
  4. Step 4: Simplify right side
    13,427.18x = 138,218,840.41
  5. Step 5: Solve for x
    x = 138,218,840.41/13,427.18
  6. Step 6: Final answer
    x = 10,293.96

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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.