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Finding the Fourth Proportional to 14,004.32, 20,999.12 and 4,142.16

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Solution

The fourth proportional to 14,004.32, 20,999.12 and 4,142.16 is: 6,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.32 : 20,999.12 = 4,142.16 : x
  2. Step 2: Convert to fraction form
    14,004.32/20,999.12 = 4,142.16/x
  3. Step 3: Cross multiply
    14,004.32x = 20,999.12 × 4,142.16
  4. Step 4: Simplify right side
    14,004.32x = 86,981,694.19
  5. Step 5: Solve for x
    x = 86,981,694.19/14,004.32
  6. Step 6: Final answer
    x = 6,211.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.