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Finding the Fourth Proportional to 14,408.01, 21,593.84 and 7,727.94

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Solution

The fourth proportional to 14,408.01, 21,593.84 and 7,727.94 is: 11,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.01 : 21,593.84 = 7,727.94 : x
  2. Step 2: Convert to fraction form
    14,408.01/21,593.84 = 7,727.94/x
  3. Step 3: Cross multiply
    14,408.01x = 21,593.84 × 7,727.94
  4. Step 4: Simplify right side
    14,408.01x = 166,875,861.25
  5. Step 5: Solve for x
    x = 166,875,861.25/14,408.01
  6. Step 6: Final answer
    x = 11,582.16

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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.