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Finding the Fourth Proportional to 13,678.61, 20,514.27 and 3,816.16

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Solution

The fourth proportional to 13,678.61, 20,514.27 and 3,816.16 is: 5,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.61 : 20,514.27 = 3,816.16 : x
  2. Step 2: Convert to fraction form
    13,678.61/20,514.27 = 3,816.16/x
  3. Step 3: Cross multiply
    13,678.61x = 20,514.27 × 3,816.16
  4. Step 4: Simplify right side
    13,678.61x = 78,285,685.32
  5. Step 5: Solve for x
    x = 78,285,685.32/13,678.61
  6. Step 6: Final answer
    x = 5,723.22

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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.