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Finding the Fourth Proportional to 13,689.92, 20,507.06 and 10,183.70

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Solution

The fourth proportional to 13,689.92, 20,507.06 and 10,183.70 is: 15,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.92 : 20,507.06 = 10,183.70 : x
  2. Step 2: Convert to fraction form
    13,689.92/20,507.06 = 10,183.70/x
  3. Step 3: Cross multiply
    13,689.92x = 20,507.06 × 10,183.70
  4. Step 4: Simplify right side
    13,689.92x = 208,837,746.92
  5. Step 5: Solve for x
    x = 208,837,746.92/13,689.92
  6. Step 6: Final answer
    x = 15,254.86

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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.