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Finding the Fourth Proportional to 13,760.35, 18,970.88 and 10,937.09

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Solution

The fourth proportional to 13,760.35, 18,970.88 and 10,937.09 is: 15,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.35 : 18,970.88 = 10,937.09 : x
  2. Step 2: Convert to fraction form
    13,760.35/18,970.88 = 10,937.09/x
  3. Step 3: Cross multiply
    13,760.35x = 18,970.88 × 10,937.09
  4. Step 4: Simplify right side
    13,760.35x = 207,486,214.68
  5. Step 5: Solve for x
    x = 207,486,214.68/13,760.35
  6. Step 6: Final answer
    x = 15,078.56

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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.