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Finding the Fourth Proportional to 12,950.40, 17,871.36 and 7,284.72

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Solution

The fourth proportional to 12,950.40, 17,871.36 and 7,284.72 is: 10,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.40 : 17,871.36 = 7,284.72 : x
  2. Step 2: Convert to fraction form
    12,950.40/17,871.36 = 7,284.72/x
  3. Step 3: Cross multiply
    12,950.40x = 17,871.36 × 7,284.72
  4. Step 4: Simplify right side
    12,950.40x = 130,187,853.62
  5. Step 5: Solve for x
    x = 130,187,853.62/12,950.40
  6. Step 6: Final answer
    x = 10,052.81

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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.