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Finding the Fourth Proportional to 18,642.02, 27,963 and 12,780.86

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Solution

The fourth proportional to 18,642.02, 27,963 and 12,780.86 is: 19,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.02 : 27,963 = 12,780.86 : x
  2. Step 2: Convert to fraction form
    18,642.02/27,963 = 12,780.86/x
  3. Step 3: Cross multiply
    18,642.02x = 27,963 × 12,780.86
  4. Step 4: Simplify right side
    18,642.02x = 357,391,188.18
  5. Step 5: Solve for x
    x = 357,391,188.18/18,642.02
  6. Step 6: Final answer
    x = 19,171.27

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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.