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Finding the Fourth Proportional to 12,716.81, 17,538.14 and 10,059.56

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Solution

The fourth proportional to 12,716.81, 17,538.14 and 10,059.56 is: 13,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.81 : 17,538.14 = 10,059.56 : x
  2. Step 2: Convert to fraction form
    12,716.81/17,538.14 = 10,059.56/x
  3. Step 3: Cross multiply
    12,716.81x = 17,538.14 × 10,059.56
  4. Step 4: Simplify right side
    12,716.81x = 176,425,971.62
  5. Step 5: Solve for x
    x = 176,425,971.62/12,716.81
  6. Step 6: Final answer
    x = 13,873.45

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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.