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Finding the Fourth Proportional to 24,843.40, 34,284.66 and 13,513.72

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Solution

The fourth proportional to 24,843.40, 34,284.66 and 13,513.72 is: 18,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.40 : 34,284.66 = 13,513.72 : x
  2. Step 2: Convert to fraction form
    24,843.40/34,284.66 = 13,513.72/x
  3. Step 3: Cross multiply
    24,843.40x = 34,284.66 × 13,513.72
  4. Step 4: Simplify right side
    24,843.40x = 463,313,295.54
  5. Step 5: Solve for x
    x = 463,313,295.54/24,843.40
  6. Step 6: Final answer
    x = 18,649.35

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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.