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Finding the Fourth Proportional to 14,515.67, 20,031.63 and 8,228.09

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Solution

The fourth proportional to 14,515.67, 20,031.63 and 8,228.09 is: 11,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.67 : 20,031.63 = 8,228.09 : x
  2. Step 2: Convert to fraction form
    14,515.67/20,031.63 = 8,228.09/x
  3. Step 3: Cross multiply
    14,515.67x = 20,031.63 × 8,228.09
  4. Step 4: Simplify right side
    14,515.67x = 164,822,054.49
  5. Step 5: Solve for x
    x = 164,822,054.49/14,515.67
  6. Step 6: Final answer
    x = 11,354.77

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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.