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Finding the Fourth Proportional to 14,829.40, 20,463.78 and 8,114.68

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Solution

The fourth proportional to 14,829.40, 20,463.78 and 8,114.68 is: 11,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.40 : 20,463.78 = 8,114.68 : x
  2. Step 2: Convert to fraction form
    14,829.40/20,463.78 = 8,114.68/x
  3. Step 3: Cross multiply
    14,829.40x = 20,463.78 × 8,114.68
  4. Step 4: Simplify right side
    14,829.40x = 166,057,026.29
  5. Step 5: Solve for x
    x = 166,057,026.29/14,829.40
  6. Step 6: Final answer
    x = 11,197.83

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1.5x scale

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.