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Finding the Fourth Proportional to 16,492.80, 24,742.86 and 8,177.34

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Solution

The fourth proportional to 16,492.80, 24,742.86 and 8,177.34 is: 12,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.80 : 24,742.86 = 8,177.34 : x
  2. Step 2: Convert to fraction form
    16,492.80/24,742.86 = 8,177.34/x
  3. Step 3: Cross multiply
    16,492.80x = 24,742.86 × 8,177.34
  4. Step 4: Simplify right side
    16,492.80x = 202,330,778.79
  5. Step 5: Solve for x
    x = 202,330,778.79/16,492.80
  6. Step 6: Final answer
    x = 12,267.82

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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.