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Finding the Fourth Proportional to 14,014.10, 21,007.65 and 8,084.90

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Solution

The fourth proportional to 14,014.10, 21,007.65 and 8,084.90 is: 12,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.10 : 21,007.65 = 8,084.90 : x
  2. Step 2: Convert to fraction form
    14,014.10/21,007.65 = 8,084.90/x
  3. Step 3: Cross multiply
    14,014.10x = 21,007.65 × 8,084.90
  4. Step 4: Simplify right side
    14,014.10x = 169,844,749.49
  5. Step 5: Solve for x
    x = 169,844,749.49/14,014.10
  6. Step 6: Final answer
    x = 12,119.56

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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.