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Finding the Fourth Proportional to 13,512.78, 20,226.78 and 9,814.05

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Solution

The fourth proportional to 13,512.78, 20,226.78 and 9,814.05 is: 14,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.78 : 20,226.78 = 9,814.05 : x
  2. Step 2: Convert to fraction form
    13,512.78/20,226.78 = 9,814.05/x
  3. Step 3: Cross multiply
    13,512.78x = 20,226.78 × 9,814.05
  4. Step 4: Simplify right side
    13,512.78x = 198,506,630.26
  5. Step 5: Solve for x
    x = 198,506,630.26/13,512.78
  6. Step 6: Final answer
    x = 14,690.29

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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.