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Finding the Fourth Proportional to 13,678.74, 20,503.46 and 9,771.30

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Solution

The fourth proportional to 13,678.74, 20,503.46 and 9,771.30 is: 14,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.74 : 20,503.46 = 9,771.30 : x
  2. Step 2: Convert to fraction form
    13,678.74/20,503.46 = 9,771.30/x
  3. Step 3: Cross multiply
    13,678.74x = 20,503.46 × 9,771.30
  4. Step 4: Simplify right side
    13,678.74x = 200,345,458.70
  5. Step 5: Solve for x
    x = 200,345,458.70/13,678.74
  6. Step 6: Final answer
    x = 14,646.48

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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.