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Finding the Fourth Proportional to 14,002.38, 21,003.42 and 5,680.42

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Solution

The fourth proportional to 14,002.38, 21,003.42 and 5,680.42 is: 8,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.38 : 21,003.42 = 5,680.42 : x
  2. Step 2: Convert to fraction form
    14,002.38/21,003.42 = 5,680.42/x
  3. Step 3: Cross multiply
    14,002.38x = 21,003.42 × 5,680.42
  4. Step 4: Simplify right side
    14,002.38x = 119,308,247.04
  5. Step 5: Solve for x
    x = 119,308,247.04/14,002.38
  6. Step 6: Final answer
    x = 8,520.57

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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.