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Finding the Fourth Proportional to 24,165.83, 33,348.77 and 13,412.32

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Solution

The fourth proportional to 24,165.83, 33,348.77 and 13,412.32 is: 18,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.83 : 33,348.77 = 13,412.32 : x
  2. Step 2: Convert to fraction form
    24,165.83/33,348.77 = 13,412.32/x
  3. Step 3: Cross multiply
    24,165.83x = 33,348.77 × 13,412.32
  4. Step 4: Simplify right side
    24,165.83x = 447,284,141.04
  5. Step 5: Solve for x
    x = 447,284,141.04/24,165.83
  6. Step 6: Final answer
    x = 18,508.95

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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.