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Finding the Fourth Proportional to 13,883.95, 20,826.50 and 11,560.34

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Solution

The fourth proportional to 13,883.95, 20,826.50 and 11,560.34 is: 17,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.95 : 20,826.50 = 11,560.34 : x
  2. Step 2: Convert to fraction form
    13,883.95/20,826.50 = 11,560.34/x
  3. Step 3: Cross multiply
    13,883.95x = 20,826.50 × 11,560.34
  4. Step 4: Simplify right side
    13,883.95x = 240,761,363.21
  5. Step 5: Solve for x
    x = 240,761,363.21/13,883.95
  6. Step 6: Final answer
    x = 17,340.98

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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.