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Finding the Fourth Proportional to 16,103.58, 24,151.73 and 7,341

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Solution

The fourth proportional to 16,103.58, 24,151.73 and 7,341 is: 11,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.58 : 24,151.73 = 7,341 : x
  2. Step 2: Convert to fraction form
    16,103.58/24,151.73 = 7,341/x
  3. Step 3: Cross multiply
    16,103.58x = 24,151.73 × 7,341
  4. Step 4: Simplify right side
    16,103.58x = 177,297,813.23
  5. Step 5: Solve for x
    x = 177,297,813.23/16,103.58
  6. Step 6: Final answer
    x = 11,009.84

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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.