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Finding the Fourth Proportional to 24,843.49, 34,284.65 and 13,513.63

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Solution

The fourth proportional to 24,843.49, 34,284.65 and 13,513.63 is: 18,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.49 : 34,284.65 = 13,513.63 : x
  2. Step 2: Convert to fraction form
    24,843.49/34,284.65 = 13,513.63/x
  3. Step 3: Cross multiply
    24,843.49x = 34,284.65 × 13,513.63
  4. Step 4: Simplify right side
    24,843.49x = 463,310,074.78
  5. Step 5: Solve for x
    x = 463,310,074.78/24,843.49
  6. Step 6: Final answer
    x = 18,649.15

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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.