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Finding the Fourth Proportional to 24,381.59, 33,647.82 and 14,310.47

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Solution

The fourth proportional to 24,381.59, 33,647.82 and 14,310.47 is: 19,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.59 : 33,647.82 = 14,310.47 : x
  2. Step 2: Convert to fraction form
    24,381.59/33,647.82 = 14,310.47/x
  3. Step 3: Cross multiply
    24,381.59x = 33,647.82 × 14,310.47
  4. Step 4: Simplify right side
    24,381.59x = 481,516,118.68
  5. Step 5: Solve for x
    x = 481,516,118.68/24,381.59
  6. Step 6: Final answer
    x = 19,749.17

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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.