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Finding the Fourth Proportional to 13,086, 18,059.40 and 7,497.36

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Solution

The fourth proportional to 13,086, 18,059.40 and 7,497.36 is: 10,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 18,059.40 = 7,497.36 : x
  2. Step 2: Convert to fraction form
    13,086/18,059.40 = 7,497.36/x
  3. Step 3: Cross multiply
    13,086x = 18,059.40 × 7,497.36
  4. Step 4: Simplify right side
    13,086x = 135,397,823.18
  5. Step 5: Solve for x
    x = 135,397,823.18/13,086
  6. Step 6: Final answer
    x = 10,346.77

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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.