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Finding the Fourth Proportional to 16,553, 24,829.50 and 4,865.96

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Solution

The fourth proportional to 16,553, 24,829.50 and 4,865.96 is: 7,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553 : 24,829.50 = 4,865.96 : x
  2. Step 2: Convert to fraction form
    16,553/24,829.50 = 4,865.96/x
  3. Step 3: Cross multiply
    16,553x = 24,829.50 × 4,865.96
  4. Step 4: Simplify right side
    16,553x = 120,819,353.82
  5. Step 5: Solve for x
    x = 120,819,353.82/16,553
  6. Step 6: Final answer
    x = 7,298.94

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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.