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Finding the Fourth Proportional to 13,826.88, 20,740.29 and 11,040.50

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Solution

The fourth proportional to 13,826.88, 20,740.29 and 11,040.50 is: 16,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.88 : 20,740.29 = 11,040.50 : x
  2. Step 2: Convert to fraction form
    13,826.88/20,740.29 = 11,040.50/x
  3. Step 3: Cross multiply
    13,826.88x = 20,740.29 × 11,040.50
  4. Step 4: Simplify right side
    13,826.88x = 228,983,068.04
  5. Step 5: Solve for x
    x = 228,983,068.04/13,826.88
  6. Step 6: Final answer
    x = 16,560.72

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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.