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Finding the Fourth Proportional to 13,873.68, 20,813.56 and 4,013.35

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Solution

The fourth proportional to 13,873.68, 20,813.56 and 4,013.35 is: 6,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.68 : 20,813.56 = 4,013.35 : x
  2. Step 2: Convert to fraction form
    13,873.68/20,813.56 = 4,013.35/x
  3. Step 3: Cross multiply
    13,873.68x = 20,813.56 × 4,013.35
  4. Step 4: Simplify right side
    13,873.68x = 83,532,038.96
  5. Step 5: Solve for x
    x = 83,532,038.96/13,873.68
  6. Step 6: Final answer
    x = 6,020.90

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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.