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Finding the Fourth Proportional to 14,494.16, 20,002.20 and 8,207.84

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Solution

The fourth proportional to 14,494.16, 20,002.20 and 8,207.84 is: 11,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.16 : 20,002.20 = 8,207.84 : x
  2. Step 2: Convert to fraction form
    14,494.16/20,002.20 = 8,207.84/x
  3. Step 3: Cross multiply
    14,494.16x = 20,002.20 × 8,207.84
  4. Step 4: Simplify right side
    14,494.16x = 164,174,857.25
  5. Step 5: Solve for x
    x = 164,174,857.25/14,494.16
  6. Step 6: Final answer
    x = 11,326.97

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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.