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Finding the Fourth Proportional to 20,767.97, 28,670.08 and 12,814.58

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Solution

The fourth proportional to 20,767.97, 28,670.08 and 12,814.58 is: 17,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.97 : 28,670.08 = 12,814.58 : x
  2. Step 2: Convert to fraction form
    20,767.97/28,670.08 = 12,814.58/x
  3. Step 3: Cross multiply
    20,767.97x = 28,670.08 × 12,814.58
  4. Step 4: Simplify right side
    20,767.97x = 367,395,033.77
  5. Step 5: Solve for x
    x = 367,395,033.77/20,767.97
  6. Step 6: Final answer
    x = 17,690.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.