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Finding the Fourth Proportional to 23,198.85, 34,797.66 and 16,076.13

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Solution

The fourth proportional to 23,198.85, 34,797.66 and 16,076.13 is: 24,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.85 : 34,797.66 = 16,076.13 : x
  2. Step 2: Convert to fraction form
    23,198.85/34,797.66 = 16,076.13/x
  3. Step 3: Cross multiply
    23,198.85x = 34,797.66 × 16,076.13
  4. Step 4: Simplify right side
    23,198.85x = 559,411,705.86
  5. Step 5: Solve for x
    x = 559,411,705.86/23,198.85
  6. Step 6: Final answer
    x = 24,113.77

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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.