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Finding the Fourth Proportional to 10,878.30, 16,292.34 and 10,697.67

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Solution

The fourth proportional to 10,878.30, 16,292.34 and 10,697.67 is: 16,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.30 : 16,292.34 = 10,697.67 : x
  2. Step 2: Convert to fraction form
    10,878.30/16,292.34 = 10,697.67/x
  3. Step 3: Cross multiply
    10,878.30x = 16,292.34 × 10,697.67
  4. Step 4: Simplify right side
    10,878.30x = 174,290,076.85
  5. Step 5: Solve for x
    x = 174,290,076.85/10,878.30
  6. Step 6: Final answer
    x = 16,021.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.