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Finding the Fourth Proportional to 13,813.88, 20,680.68 and 12,389.09

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Solution

The fourth proportional to 13,813.88, 20,680.68 and 12,389.09 is: 18,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.88 : 20,680.68 = 12,389.09 : x
  2. Step 2: Convert to fraction form
    13,813.88/20,680.68 = 12,389.09/x
  3. Step 3: Cross multiply
    13,813.88x = 20,680.68 × 12,389.09
  4. Step 4: Simplify right side
    13,813.88x = 256,214,805.78
  5. Step 5: Solve for x
    x = 256,214,805.78/13,813.88
  6. Step 6: Final answer
    x = 18,547.64

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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.