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Finding the Fourth Proportional to 13,886.39, 20,823.98 and 5,119.35

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Solution

The fourth proportional to 13,886.39, 20,823.98 and 5,119.35 is: 7,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.39 : 20,823.98 = 5,119.35 : x
  2. Step 2: Convert to fraction form
    13,886.39/20,823.98 = 5,119.35/x
  3. Step 3: Cross multiply
    13,886.39x = 20,823.98 × 5,119.35
  4. Step 4: Simplify right side
    13,886.39x = 106,605,216.42
  5. Step 5: Solve for x
    x = 106,605,216.42/13,886.39
  6. Step 6: Final answer
    x = 7,676.96

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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.