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Finding the Fourth Proportional to 16,466.97, 24,700.19 and 3,986.91

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Solution

The fourth proportional to 16,466.97, 24,700.19 and 3,986.91 is: 5,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.97 : 24,700.19 = 3,986.91 : x
  2. Step 2: Convert to fraction form
    16,466.97/24,700.19 = 3,986.91/x
  3. Step 3: Cross multiply
    16,466.97x = 24,700.19 × 3,986.91
  4. Step 4: Simplify right side
    16,466.97x = 98,477,414.58
  5. Step 5: Solve for x
    x = 98,477,414.58/16,466.97
  6. Step 6: Final answer
    x = 5,980.30

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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.