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Finding the Fourth Proportional to 24,383.72, 33,647.74 and 14,312.56

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Solution

The fourth proportional to 24,383.72, 33,647.74 and 14,312.56 is: 19,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.72 : 33,647.74 = 14,312.56 : x
  2. Step 2: Convert to fraction form
    24,383.72/33,647.74 = 14,312.56/x
  3. Step 3: Cross multiply
    24,383.72x = 33,647.74 × 14,312.56
  4. Step 4: Simplify right side
    24,383.72x = 481,585,297.61
  5. Step 5: Solve for x
    x = 481,585,297.61/24,383.72
  6. Step 6: Final answer
    x = 19,750.28

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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.