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Finding the Fourth Proportional to 20,465.64, 30,667.68 and 13,869

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Solution

The fourth proportional to 20,465.64, 30,667.68 and 13,869 is: 20,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.64 : 30,667.68 = 13,869 : x
  2. Step 2: Convert to fraction form
    20,465.64/30,667.68 = 13,869/x
  3. Step 3: Cross multiply
    20,465.64x = 30,667.68 × 13,869
  4. Step 4: Simplify right side
    20,465.64x = 425,330,053.92
  5. Step 5: Solve for x
    x = 425,330,053.92/20,465.64
  6. Step 6: Final answer
    x = 20,782.64

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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.