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Finding the Fourth Proportional to 17,855.40, 24,645.60 and 10,782.36

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Solution

The fourth proportional to 17,855.40, 24,645.60 and 10,782.36 is: 14,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.40 : 24,645.60 = 10,782.36 : x
  2. Step 2: Convert to fraction form
    17,855.40/24,645.60 = 10,782.36/x
  3. Step 3: Cross multiply
    17,855.40x = 24,645.60 × 10,782.36
  4. Step 4: Simplify right side
    17,855.40x = 265,737,731.62
  5. Step 5: Solve for x
    x = 265,737,731.62/17,855.40
  6. Step 6: Final answer
    x = 14,882.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.