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Finding the Fourth Proportional to 14,745.16, 20,368.22 and 11,781.78

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Solution

The fourth proportional to 14,745.16, 20,368.22 and 11,781.78 is: 16,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.16 : 20,368.22 = 11,781.78 : x
  2. Step 2: Convert to fraction form
    14,745.16/20,368.22 = 11,781.78/x
  3. Step 3: Cross multiply
    14,745.16x = 20,368.22 × 11,781.78
  4. Step 4: Simplify right side
    14,745.16x = 239,973,887.03
  5. Step 5: Solve for x
    x = 239,973,887.03/14,745.16
  6. Step 6: Final answer
    x = 16,274.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.