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Finding the Fourth Proportional to 13,806.40, 20,669.10 and 12,381.34

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Solution

The fourth proportional to 13,806.40, 20,669.10 and 12,381.34 is: 18,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.40 : 20,669.10 = 12,381.34 : x
  2. Step 2: Convert to fraction form
    13,806.40/20,669.10 = 12,381.34/x
  3. Step 3: Cross multiply
    13,806.40x = 20,669.10 × 12,381.34
  4. Step 4: Simplify right side
    13,806.40x = 255,911,154.59
  5. Step 5: Solve for x
    x = 255,911,154.59/13,806.40
  6. Step 6: Final answer
    x = 18,535.69

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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.