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Finding the Fourth Proportional to 16,474.32, 24,708.24 and 4,466.25

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Solution

The fourth proportional to 16,474.32, 24,708.24 and 4,466.25 is: 6,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.32 : 24,708.24 = 4,466.25 : x
  2. Step 2: Convert to fraction form
    16,474.32/24,708.24 = 4,466.25/x
  3. Step 3: Cross multiply
    16,474.32x = 24,708.24 × 4,466.25
  4. Step 4: Simplify right side
    16,474.32x = 110,353,176.90
  5. Step 5: Solve for x
    x = 110,353,176.90/16,474.32
  6. Step 6: Final answer
    x = 6,698.50

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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.