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Finding the Fourth Proportional to 17,285.68, 23,856.03 and 10,575.78

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Solution

The fourth proportional to 17,285.68, 23,856.03 and 10,575.78 is: 14,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.68 : 23,856.03 = 10,575.78 : x
  2. Step 2: Convert to fraction form
    17,285.68/23,856.03 = 10,575.78/x
  3. Step 3: Cross multiply
    17,285.68x = 23,856.03 × 10,575.78
  4. Step 4: Simplify right side
    17,285.68x = 252,296,124.95
  5. Step 5: Solve for x
    x = 252,296,124.95/17,285.68
  6. Step 6: Final answer
    x = 14,595.67

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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.