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Finding the Fourth Proportional to 16,437.25, 24,623.30 and 7,660.09

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Solution

The fourth proportional to 16,437.25, 24,623.30 and 7,660.09 is: 11,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.25 : 24,623.30 = 7,660.09 : x
  2. Step 2: Convert to fraction form
    16,437.25/24,623.30 = 7,660.09/x
  3. Step 3: Cross multiply
    16,437.25x = 24,623.30 × 7,660.09
  4. Step 4: Simplify right side
    16,437.25x = 188,616,655.80
  5. Step 5: Solve for x
    x = 188,616,655.80/16,437.25
  6. Step 6: Final answer
    x = 11,474.95

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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.