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Finding the Fourth Proportional to 13,752.86, 20,650.34 and 12,123.14

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Solution

The fourth proportional to 13,752.86, 20,650.34 and 12,123.14 is: 18,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.86 : 20,650.34 = 12,123.14 : x
  2. Step 2: Convert to fraction form
    13,752.86/20,650.34 = 12,123.14/x
  3. Step 3: Cross multiply
    13,752.86x = 20,650.34 × 12,123.14
  4. Step 4: Simplify right side
    13,752.86x = 250,346,889.92
  5. Step 5: Solve for x
    x = 250,346,889.92/13,752.86
  6. Step 6: Final answer
    x = 18,203.27

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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.