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Finding the Fourth Proportional to 16,500.86, 22,765.20 and 10,838.67

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Solution

The fourth proportional to 16,500.86, 22,765.20 and 10,838.67 is: 14,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.86 : 22,765.20 = 10,838.67 : x
  2. Step 2: Convert to fraction form
    16,500.86/22,765.20 = 10,838.67/x
  3. Step 3: Cross multiply
    16,500.86x = 22,765.20 × 10,838.67
  4. Step 4: Simplify right side
    16,500.86x = 246,744,490.28
  5. Step 5: Solve for x
    x = 246,744,490.28/16,500.86
  6. Step 6: Final answer
    x = 14,953.44

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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.