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Finding the Fourth Proportional to 13,722.68, 18,937.12 and 7,754.24

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Solution

The fourth proportional to 13,722.68, 18,937.12 and 7,754.24 is: 10,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.68 : 18,937.12 = 7,754.24 : x
  2. Step 2: Convert to fraction form
    13,722.68/18,937.12 = 7,754.24/x
  3. Step 3: Cross multiply
    13,722.68x = 18,937.12 × 7,754.24
  4. Step 4: Simplify right side
    13,722.68x = 146,842,973.39
  5. Step 5: Solve for x
    x = 146,842,973.39/13,722.68
  6. Step 6: Final answer
    x = 10,700.75

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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.