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Finding the Fourth Proportional to 13,435.41, 18,539.38 and 7,769.30

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Solution

The fourth proportional to 13,435.41, 18,539.38 and 7,769.30 is: 10,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.41 : 18,539.38 = 7,769.30 : x
  2. Step 2: Convert to fraction form
    13,435.41/18,539.38 = 7,769.30/x
  3. Step 3: Cross multiply
    13,435.41x = 18,539.38 × 7,769.30
  4. Step 4: Simplify right side
    13,435.41x = 144,037,873.49
  5. Step 5: Solve for x
    x = 144,037,873.49/13,435.41
  6. Step 6: Final answer
    x = 10,720.77

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Why These Related Problems?

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