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Finding the Fourth Proportional to 14,006.32, 21,002.11 and 4,144.16

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Solution

The fourth proportional to 14,006.32, 21,002.11 and 4,144.16 is: 6,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.32 : 21,002.11 = 4,144.16 : x
  2. Step 2: Convert to fraction form
    14,006.32/21,002.11 = 4,144.16/x
  3. Step 3: Cross multiply
    14,006.32x = 21,002.11 × 4,144.16
  4. Step 4: Simplify right side
    14,006.32x = 87,036,104.18
  5. Step 5: Solve for x
    x = 87,036,104.18/14,006.32
  6. Step 6: Final answer
    x = 6,214.06

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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.