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Finding the Fourth Proportional to 17,856.50, 24,645 and 10,301.46

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Solution

The fourth proportional to 17,856.50, 24,645 and 10,301.46 is: 14,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.50 : 24,645 = 10,301.46 : x
  2. Step 2: Convert to fraction form
    17,856.50/24,645 = 10,301.46/x
  3. Step 3: Cross multiply
    17,856.50x = 24,645 × 10,301.46
  4. Step 4: Simplify right side
    17,856.50x = 253,879,481.70
  5. Step 5: Solve for x
    x = 253,879,481.70/17,856.50
  6. Step 6: Final answer
    x = 14,217.77

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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.