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Finding the Fourth Proportional to 16,077.41, 24,117.24 and 4,982.66

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Solution

The fourth proportional to 16,077.41, 24,117.24 and 4,982.66 is: 7,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.41 : 24,117.24 = 4,982.66 : x
  2. Step 2: Convert to fraction form
    16,077.41/24,117.24 = 4,982.66/x
  3. Step 3: Cross multiply
    16,077.41x = 24,117.24 × 4,982.66
  4. Step 4: Simplify right side
    16,077.41x = 120,168,007.06
  5. Step 5: Solve for x
    x = 120,168,007.06/16,077.41
  6. Step 6: Final answer
    x = 7,474.34

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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.