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Finding the Fourth Proportional to 13,436, 18,538.72 and 7,770.72

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Solution

The fourth proportional to 13,436, 18,538.72 and 7,770.72 is: 10,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436 : 18,538.72 = 7,770.72 : x
  2. Step 2: Convert to fraction form
    13,436/18,538.72 = 7,770.72/x
  3. Step 3: Cross multiply
    13,436x = 18,538.72 × 7,770.72
  4. Step 4: Simplify right side
    13,436x = 144,059,202.28
  5. Step 5: Solve for x
    x = 144,059,202.28/13,436
  6. Step 6: Final answer
    x = 10,721.88

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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.