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Finding the Fourth Proportional to 13,682.44, 20,509.98 and 11,800.72

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Solution

The fourth proportional to 13,682.44, 20,509.98 and 11,800.72 is: 17,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.44 : 20,509.98 = 11,800.72 : x
  2. Step 2: Convert to fraction form
    13,682.44/20,509.98 = 11,800.72/x
  3. Step 3: Cross multiply
    13,682.44x = 20,509.98 × 11,800.72
  4. Step 4: Simplify right side
    13,682.44x = 242,032,531.19
  5. Step 5: Solve for x
    x = 242,032,531.19/13,682.44
  6. Step 6: Final answer
    x = 17,689.28

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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.