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Finding the Fourth Proportional to 13,756.42, 18,983.82 and 7,468.78

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Solution

The fourth proportional to 13,756.42, 18,983.82 and 7,468.78 is: 10,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.42 : 18,983.82 = 7,468.78 : x
  2. Step 2: Convert to fraction form
    13,756.42/18,983.82 = 7,468.78/x
  3. Step 3: Cross multiply
    13,756.42x = 18,983.82 × 7,468.78
  4. Step 4: Simplify right side
    13,756.42x = 141,785,975.14
  5. Step 5: Solve for x
    x = 141,785,975.14/13,756.42
  6. Step 6: Final answer
    x = 10,306.89

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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.