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Finding the Fourth Proportional to 16,376.80, 24,556.56 and 7,132

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Solution

The fourth proportional to 16,376.80, 24,556.56 and 7,132 is: 10,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.80 : 24,556.56 = 7,132 : x
  2. Step 2: Convert to fraction form
    16,376.80/24,556.56 = 7,132/x
  3. Step 3: Cross multiply
    16,376.80x = 24,556.56 × 7,132
  4. Step 4: Simplify right side
    16,376.80x = 175,137,385.92
  5. Step 5: Solve for x
    x = 175,137,385.92/16,376.80
  6. Step 6: Final answer
    x = 10,694.24

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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.