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Finding the Fourth Proportional to 14,185.80, 19,576.14 and 8,217.72

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Solution

The fourth proportional to 14,185.80, 19,576.14 and 8,217.72 is: 11,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.80 : 19,576.14 = 8,217.72 : x
  2. Step 2: Convert to fraction form
    14,185.80/19,576.14 = 8,217.72/x
  3. Step 3: Cross multiply
    14,185.80x = 19,576.14 × 8,217.72
  4. Step 4: Simplify right side
    14,185.80x = 160,871,237.20
  5. Step 5: Solve for x
    x = 160,871,237.20/14,185.80
  6. Step 6: Final answer
    x = 11,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.