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Finding the Fourth Proportional to 13,772.16, 18,980.16 and 11,534.40

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Solution

The fourth proportional to 13,772.16, 18,980.16 and 11,534.40 is: 15,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.16 : 18,980.16 = 11,534.40 : x
  2. Step 2: Convert to fraction form
    13,772.16/18,980.16 = 11,534.40/x
  3. Step 3: Cross multiply
    13,772.16x = 18,980.16 × 11,534.40
  4. Step 4: Simplify right side
    13,772.16x = 218,924,757.50
  5. Step 5: Solve for x
    x = 218,924,757.50/13,772.16
  6. Step 6: Final answer
    x = 15,896.18

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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.