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Finding the Fourth Proportional to 13,886.85, 20,833.92 and 5,121.84

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Solution

The fourth proportional to 13,886.85, 20,833.92 and 5,121.84 is: 7,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.85 : 20,833.92 = 5,121.84 : x
  2. Step 2: Convert to fraction form
    13,886.85/20,833.92 = 5,121.84/x
  3. Step 3: Cross multiply
    13,886.85x = 20,833.92 × 5,121.84
  4. Step 4: Simplify right side
    13,886.85x = 106,708,004.81
  5. Step 5: Solve for x
    x = 106,708,004.81/13,886.85
  6. Step 6: Final answer
    x = 7,684.10

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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.