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Finding the Fourth Proportional to 13,678.53, 20,497.28 and 10,553.86

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Solution

The fourth proportional to 13,678.53, 20,497.28 and 10,553.86 is: 15,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.53 : 20,497.28 = 10,553.86 : x
  2. Step 2: Convert to fraction form
    13,678.53/20,497.28 = 10,553.86/x
  3. Step 3: Cross multiply
    13,678.53x = 20,497.28 × 10,553.86
  4. Step 4: Simplify right side
    13,678.53x = 216,325,321.01
  5. Step 5: Solve for x
    x = 216,325,321.01/13,678.53
  6. Step 6: Final answer
    x = 15,814.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.