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Finding the Fourth Proportional to 13,765.77, 18,996.84 and 7,478.16

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Solution

The fourth proportional to 13,765.77, 18,996.84 and 7,478.16 is: 10,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.77 : 18,996.84 = 7,478.16 : x
  2. Step 2: Convert to fraction form
    13,765.77/18,996.84 = 7,478.16/x
  3. Step 3: Cross multiply
    13,765.77x = 18,996.84 × 7,478.16
  4. Step 4: Simplify right side
    13,765.77x = 142,061,409.01
  5. Step 5: Solve for x
    x = 142,061,409.01/13,765.77
  6. Step 6: Final answer
    x = 10,319.90

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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.