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Finding the Fourth Proportional to 16,160.92, 24,241.86 and 4,475

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Solution

The fourth proportional to 16,160.92, 24,241.86 and 4,475 is: 6,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.92 : 24,241.86 = 4,475 : x
  2. Step 2: Convert to fraction form
    16,160.92/24,241.86 = 4,475/x
  3. Step 3: Cross multiply
    16,160.92x = 24,241.86 × 4,475
  4. Step 4: Simplify right side
    16,160.92x = 108,482,323.50
  5. Step 5: Solve for x
    x = 108,482,323.50/16,160.92
  6. Step 6: Final answer
    x = 6,712.63

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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.