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Finding the Fourth Proportional to 16,488, 24,729.12 and 6,096.96

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Solution

The fourth proportional to 16,488, 24,729.12 and 6,096.96 is: 9,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 24,729.12 = 6,096.96 : x
  2. Step 2: Convert to fraction form
    16,488/24,729.12 = 6,096.96/x
  3. Step 3: Cross multiply
    16,488x = 24,729.12 × 6,096.96
  4. Step 4: Simplify right side
    16,488x = 150,772,455.48
  5. Step 5: Solve for x
    x = 150,772,455.48/16,488
  6. Step 6: Final answer
    x = 9,144.38

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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.