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Finding the Fourth Proportional to 16,497.24, 24,746.64 and 5,404.56

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Solution

The fourth proportional to 16,497.24, 24,746.64 and 5,404.56 is: 8,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.24 : 24,746.64 = 5,404.56 : x
  2. Step 2: Convert to fraction form
    16,497.24/24,746.64 = 5,404.56/x
  3. Step 3: Cross multiply
    16,497.24x = 24,746.64 × 5,404.56
  4. Step 4: Simplify right side
    16,497.24x = 133,744,700.68
  5. Step 5: Solve for x
    x = 133,744,700.68/16,497.24
  6. Step 6: Final answer
    x = 8,107.10

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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.