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Finding the Fourth Proportional to 13,731.84, 20,601.18 and 6,341.44

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Solution

The fourth proportional to 13,731.84, 20,601.18 and 6,341.44 is: 9,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.84 : 20,601.18 = 6,341.44 : x
  2. Step 2: Convert to fraction form
    13,731.84/20,601.18 = 6,341.44/x
  3. Step 3: Cross multiply
    13,731.84x = 20,601.18 × 6,341.44
  4. Step 4: Simplify right side
    13,731.84x = 130,641,146.90
  5. Step 5: Solve for x
    x = 130,641,146.90/13,731.84
  6. Step 6: Final answer
    x = 9,513.74

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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.