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Finding the Fourth Proportional to 15,238.67, 22,857.39 and 5,877.09

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Solution

The fourth proportional to 15,238.67, 22,857.39 and 5,877.09 is: 8,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.67 : 22,857.39 = 5,877.09 : x
  2. Step 2: Convert to fraction form
    15,238.67/22,857.39 = 5,877.09/x
  3. Step 3: Cross multiply
    15,238.67x = 22,857.39 × 5,877.09
  4. Step 4: Simplify right side
    15,238.67x = 134,334,938.20
  5. Step 5: Solve for x
    x = 134,334,938.20/15,238.67
  6. Step 6: Final answer
    x = 8,815.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.