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Finding the Fourth Proportional to 13,885.17, 20,826.40 and 7,562.09

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Solution

The fourth proportional to 13,885.17, 20,826.40 and 7,562.09 is: 11,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.17 : 20,826.40 = 7,562.09 : x
  2. Step 2: Convert to fraction form
    13,885.17/20,826.40 = 7,562.09/x
  3. Step 3: Cross multiply
    13,885.17x = 20,826.40 × 7,562.09
  4. Step 4: Simplify right side
    13,885.17x = 157,491,111.18
  5. Step 5: Solve for x
    x = 157,491,111.18/13,885.17
  6. Step 6: Final answer
    x = 11,342.40

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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.