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Finding the Fourth Proportional to 14,769.83, 20,358.48 and 12,850.74

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Solution

The fourth proportional to 14,769.83, 20,358.48 and 12,850.74 is: 17,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.83 : 20,358.48 = 12,850.74 : x
  2. Step 2: Convert to fraction form
    14,769.83/20,358.48 = 12,850.74/x
  3. Step 3: Cross multiply
    14,769.83x = 20,358.48 × 12,850.74
  4. Step 4: Simplify right side
    14,769.83x = 261,621,533.28
  5. Step 5: Solve for x
    x = 261,621,533.28/14,769.83
  6. Step 6: Final answer
    x = 17,713.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.