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Finding the Fourth Proportional to 13,765.32, 18,996.14 and 7,477.69

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Solution

The fourth proportional to 13,765.32, 18,996.14 and 7,477.69 is: 10,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.32 : 18,996.14 = 7,477.69 : x
  2. Step 2: Convert to fraction form
    13,765.32/18,996.14 = 7,477.69/x
  3. Step 3: Cross multiply
    13,765.32x = 18,996.14 × 7,477.69
  4. Step 4: Simplify right side
    13,765.32x = 142,047,246.12
  5. Step 5: Solve for x
    x = 142,047,246.12/13,765.32
  6. Step 6: Final answer
    x = 10,319.21

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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.