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Finding the Fourth Proportional to 27,830.70, 38,406.12 and 15,083.64

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Solution

The fourth proportional to 27,830.70, 38,406.12 and 15,083.64 is: 20,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.70 : 38,406.12 = 15,083.64 : x
  2. Step 2: Convert to fraction form
    27,830.70/38,406.12 = 15,083.64/x
  3. Step 3: Cross multiply
    27,830.70x = 38,406.12 × 15,083.64
  4. Step 4: Simplify right side
    27,830.70x = 579,304,087.88
  5. Step 5: Solve for x
    x = 579,304,087.88/27,830.70
  6. Step 6: Final answer
    x = 20,815.29

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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.