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Finding the Fourth Proportional to 14,515.80, 20,031.24 and 8,228.40

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Solution

The fourth proportional to 14,515.80, 20,031.24 and 8,228.40 is: 11,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.80 : 20,031.24 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    14,515.80/20,031.24 = 8,228.40/x
  3. Step 3: Cross multiply
    14,515.80x = 20,031.24 × 8,228.40
  4. Step 4: Simplify right side
    14,515.80x = 164,825,055.22
  5. Step 5: Solve for x
    x = 164,825,055.22/14,515.80
  6. Step 6: Final answer
    x = 11,354.87

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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.