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Finding the Fourth Proportional to 16,076.86, 24,086.13 and 11,870.53

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Solution

The fourth proportional to 16,076.86, 24,086.13 and 11,870.53 is: 17,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.86 : 24,086.13 = 11,870.53 : x
  2. Step 2: Convert to fraction form
    16,076.86/24,086.13 = 11,870.53/x
  3. Step 3: Cross multiply
    16,076.86x = 24,086.13 × 11,870.53
  4. Step 4: Simplify right side
    16,076.86x = 285,915,128.75
  5. Step 5: Solve for x
    x = 285,915,128.75/16,076.86
  6. Step 6: Final answer
    x = 17,784.26

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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.