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Finding the Fourth Proportional to 12,701.81, 17,529.56 and 7,396.31

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Solution

The fourth proportional to 12,701.81, 17,529.56 and 7,396.31 is: 10,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.81 : 17,529.56 = 7,396.31 : x
  2. Step 2: Convert to fraction form
    12,701.81/17,529.56 = 7,396.31/x
  3. Step 3: Cross multiply
    12,701.81x = 17,529.56 × 7,396.31
  4. Step 4: Simplify right side
    12,701.81x = 129,653,935.29
  5. Step 5: Solve for x
    x = 129,653,935.29/12,701.81
  6. Step 6: Final answer
    x = 10,207.52

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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.