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Finding the Fourth Proportional to 24,393.85, 33,664.17 and 13,783.24

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Solution

The fourth proportional to 24,393.85, 33,664.17 and 13,783.24 is: 19,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.85 : 33,664.17 = 13,783.24 : x
  2. Step 2: Convert to fraction form
    24,393.85/33,664.17 = 13,783.24/x
  3. Step 3: Cross multiply
    24,393.85x = 33,664.17 × 13,783.24
  4. Step 4: Simplify right side
    24,393.85x = 464,001,334.51
  5. Step 5: Solve for x
    x = 464,001,334.51/24,393.85
  6. Step 6: Final answer
    x = 19,021.24

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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.