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Finding the Fourth Proportional to 20,857.14, 28,782.90 and 11,425.74

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Solution

The fourth proportional to 20,857.14, 28,782.90 and 11,425.74 is: 15,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.14 : 28,782.90 = 11,425.74 : x
  2. Step 2: Convert to fraction form
    20,857.14/28,782.90 = 11,425.74/x
  3. Step 3: Cross multiply
    20,857.14x = 28,782.90 × 11,425.74
  4. Step 4: Simplify right side
    20,857.14x = 328,865,931.85
  5. Step 5: Solve for x
    x = 328,865,931.85/20,857.14
  6. Step 6: Final answer
    x = 15,767.55

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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.