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Finding the Fourth Proportional to 13,459.40, 18,578.96 and 11,563.40

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Solution

The fourth proportional to 13,459.40, 18,578.96 and 11,563.40 is: 15,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.40 : 18,578.96 = 11,563.40 : x
  2. Step 2: Convert to fraction form
    13,459.40/18,578.96 = 11,563.40/x
  3. Step 3: Cross multiply
    13,459.40x = 18,578.96 × 11,563.40
  4. Step 4: Simplify right side
    13,459.40x = 214,835,946.06
  5. Step 5: Solve for x
    x = 214,835,946.06/13,459.40
  6. Step 6: Final answer
    x = 15,961.78

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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.