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Finding the Fourth Proportional to 13,694.20, 20,514.65 and 9,000.05

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Solution

The fourth proportional to 13,694.20, 20,514.65 and 9,000.05 is: 13,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.20 : 20,514.65 = 9,000.05 : x
  2. Step 2: Convert to fraction form
    13,694.20/20,514.65 = 9,000.05/x
  3. Step 3: Cross multiply
    13,694.20x = 20,514.65 × 9,000.05
  4. Step 4: Simplify right side
    13,694.20x = 184,632,875.73
  5. Step 5: Solve for x
    x = 184,632,875.73/13,694.20
  6. Step 6: Final answer
    x = 13,482.56

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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.