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Finding the Fourth Proportional to 12,841.14, 17,720.18 and 7,540.50

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Solution

The fourth proportional to 12,841.14, 17,720.18 and 7,540.50 is: 10,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.14 : 17,720.18 = 7,540.50 : x
  2. Step 2: Convert to fraction form
    12,841.14/17,720.18 = 7,540.50/x
  3. Step 3: Cross multiply
    12,841.14x = 17,720.18 × 7,540.50
  4. Step 4: Simplify right side
    12,841.14x = 133,619,017.29
  5. Step 5: Solve for x
    x = 133,619,017.29/12,841.14
  6. Step 6: Final answer
    x = 10,405.54

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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.