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Finding the Fourth Proportional to 14,829.91, 20,469.41 and 8,460.05

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Solution

The fourth proportional to 14,829.91, 20,469.41 and 8,460.05 is: 11,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.91 : 20,469.41 = 8,460.05 : x
  2. Step 2: Convert to fraction form
    14,829.91/20,469.41 = 8,460.05/x
  3. Step 3: Cross multiply
    14,829.91x = 20,469.41 × 8,460.05
  4. Step 4: Simplify right side
    14,829.91x = 173,172,119.15
  5. Step 5: Solve for x
    x = 173,172,119.15/14,829.91
  6. Step 6: Final answer
    x = 11,677.22

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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.