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Finding the Fourth Proportional to 13,714.09, 20,567.06 and 5,816.49

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Solution

The fourth proportional to 13,714.09, 20,567.06 and 5,816.49 is: 8,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.09 : 20,567.06 = 5,816.49 : x
  2. Step 2: Convert to fraction form
    13,714.09/20,567.06 = 5,816.49/x
  3. Step 3: Cross multiply
    13,714.09x = 20,567.06 × 5,816.49
  4. Step 4: Simplify right side
    13,714.09x = 119,628,069.74
  5. Step 5: Solve for x
    x = 119,628,069.74/13,714.09
  6. Step 6: Final answer
    x = 8,723.01

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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.