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Finding the Fourth Proportional to 14,314.93, 21,457.73 and 5,999.76

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Solution

The fourth proportional to 14,314.93, 21,457.73 and 5,999.76 is: 8,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.93 : 21,457.73 = 5,999.76 : x
  2. Step 2: Convert to fraction form
    14,314.93/21,457.73 = 5,999.76/x
  3. Step 3: Cross multiply
    14,314.93x = 21,457.73 × 5,999.76
  4. Step 4: Simplify right side
    14,314.93x = 128,741,245.14
  5. Step 5: Solve for x
    x = 128,741,245.14/14,314.93
  6. Step 6: Final answer
    x = 8,993.50

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Why These Related Problems?

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