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Finding the Fourth Proportional to 14,884.70, 22,327.05 and 11,600.25

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Solution

The fourth proportional to 14,884.70, 22,327.05 and 11,600.25 is: 17,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.70 : 22,327.05 = 11,600.25 : x
  2. Step 2: Convert to fraction form
    14,884.70/22,327.05 = 11,600.25/x
  3. Step 3: Cross multiply
    14,884.70x = 22,327.05 × 11,600.25
  4. Step 4: Simplify right side
    14,884.70x = 258,999,361.76
  5. Step 5: Solve for x
    x = 258,999,361.76/14,884.70
  6. Step 6: Final answer
    x = 17,400.38

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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.