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Finding the Fourth Proportional to 20,814.64, 28,722.69 and 12,857.02

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Solution

The fourth proportional to 20,814.64, 28,722.69 and 12,857.02 is: 17,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.64 : 28,722.69 = 12,857.02 : x
  2. Step 2: Convert to fraction form
    20,814.64/28,722.69 = 12,857.02/x
  3. Step 3: Cross multiply
    20,814.64x = 28,722.69 × 12,857.02
  4. Step 4: Simplify right side
    20,814.64x = 369,288,199.78
  5. Step 5: Solve for x
    x = 369,288,199.78/20,814.64
  6. Step 6: Final answer
    x = 17,741.75

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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.