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Finding the Fourth Proportional to 20,857.32, 28,782.84 and 11,425.86

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Solution

The fourth proportional to 20,857.32, 28,782.84 and 11,425.86 is: 15,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.32 : 28,782.84 = 11,425.86 : x
  2. Step 2: Convert to fraction form
    20,857.32/28,782.84 = 11,425.86/x
  3. Step 3: Cross multiply
    20,857.32x = 28,782.84 × 11,425.86
  4. Step 4: Simplify right side
    20,857.32x = 328,868,700.24
  5. Step 5: Solve for x
    x = 328,868,700.24/20,857.32
  6. Step 6: Final answer
    x = 15,767.54

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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.