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Finding the Fourth Proportional to 13,765.63, 18,996.47 and 7,478.05

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Solution

The fourth proportional to 13,765.63, 18,996.47 and 7,478.05 is: 10,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.63 : 18,996.47 = 7,478.05 : x
  2. Step 2: Convert to fraction form
    13,765.63/18,996.47 = 7,478.05/x
  3. Step 3: Cross multiply
    13,765.63x = 18,996.47 × 7,478.05
  4. Step 4: Simplify right side
    13,765.63x = 142,056,515.09
  5. Step 5: Solve for x
    x = 142,056,515.09/13,765.63
  6. Step 6: Final answer
    x = 10,319.65

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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.