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Finding the Fourth Proportional to 13,789.66, 20,682.46 and 5,024.58

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Solution

The fourth proportional to 13,789.66, 20,682.46 and 5,024.58 is: 7,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.66 : 20,682.46 = 5,024.58 : x
  2. Step 2: Convert to fraction form
    13,789.66/20,682.46 = 5,024.58/x
  3. Step 3: Cross multiply
    13,789.66x = 20,682.46 × 5,024.58
  4. Step 4: Simplify right side
    13,789.66x = 103,920,674.87
  5. Step 5: Solve for x
    x = 103,920,674.87/13,789.66
  6. Step 6: Final answer
    x = 7,536.13

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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.