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Finding the Fourth Proportional to 16,161.85, 24,238.04 and 6,298.77

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Solution

The fourth proportional to 16,161.85, 24,238.04 and 6,298.77 is: 9,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.85 : 24,238.04 = 6,298.77 : x
  2. Step 2: Convert to fraction form
    16,161.85/24,238.04 = 6,298.77/x
  3. Step 3: Cross multiply
    16,161.85x = 24,238.04 × 6,298.77
  4. Step 4: Simplify right side
    16,161.85x = 152,669,807.72
  5. Step 5: Solve for x
    x = 152,669,807.72/16,161.85
  6. Step 6: Final answer
    x = 9,446.31

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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.