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Finding the Fourth Proportional to 13,892.08, 20,823.54 and 5,121.40

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Solution

The fourth proportional to 13,892.08, 20,823.54 and 5,121.40 is: 7,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.08 : 20,823.54 = 5,121.40 : x
  2. Step 2: Convert to fraction form
    13,892.08/20,823.54 = 5,121.40/x
  3. Step 3: Cross multiply
    13,892.08x = 20,823.54 × 5,121.40
  4. Step 4: Simplify right side
    13,892.08x = 106,645,677.76
  5. Step 5: Solve for x
    x = 106,645,677.76/13,892.08
  6. Step 6: Final answer
    x = 7,676.72

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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.