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Finding the Fourth Proportional to 13,765.64, 18,996.49 and 7,477.96

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Solution

The fourth proportional to 13,765.64, 18,996.49 and 7,477.96 is: 10,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.64 : 18,996.49 = 7,477.96 : x
  2. Step 2: Convert to fraction form
    13,765.64/18,996.49 = 7,477.96/x
  3. Step 3: Cross multiply
    13,765.64x = 18,996.49 × 7,477.96
  4. Step 4: Simplify right side
    13,765.64x = 142,054,992.36
  5. Step 5: Solve for x
    x = 142,054,992.36/13,765.64
  6. Step 6: Final answer
    x = 10,319.53

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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.