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Finding the Fourth Proportional to 16,466.77, 24,682.44 and 7,111.19

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Solution

The fourth proportional to 16,466.77, 24,682.44 and 7,111.19 is: 10,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.77 : 24,682.44 = 7,111.19 : x
  2. Step 2: Convert to fraction form
    16,466.77/24,682.44 = 7,111.19/x
  3. Step 3: Cross multiply
    16,466.77x = 24,682.44 × 7,111.19
  4. Step 4: Simplify right side
    16,466.77x = 175,521,520.50
  5. Step 5: Solve for x
    x = 175,521,520.50/16,466.77
  6. Step 6: Final answer
    x = 10,659.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.