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Finding the Fourth Proportional to 20,123.26, 27,768.82 and 12,569.14

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Solution

The fourth proportional to 20,123.26, 27,768.82 and 12,569.14 is: 17,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.26 : 27,768.82 = 12,569.14 : x
  2. Step 2: Convert to fraction form
    20,123.26/27,768.82 = 12,569.14/x
  3. Step 3: Cross multiply
    20,123.26x = 27,768.82 × 12,569.14
  4. Step 4: Simplify right side
    20,123.26x = 349,030,186.21
  5. Step 5: Solve for x
    x = 349,030,186.21/20,123.26
  6. Step 6: Final answer
    x = 17,344.61

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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.