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Finding the Fourth Proportional to 19,524, 29,276.82 and 8,423.76

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Solution

The fourth proportional to 19,524, 29,276.82 and 8,423.76 is: 12,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 29,276.82 = 8,423.76 : x
  2. Step 2: Convert to fraction form
    19,524/29,276.82 = 8,423.76/x
  3. Step 3: Cross multiply
    19,524x = 29,276.82 × 8,423.76
  4. Step 4: Simplify right side
    19,524x = 246,620,905.24
  5. Step 5: Solve for x
    x = 246,620,905.24/19,524
  6. Step 6: Final answer
    x = 12,631.68

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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.