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Finding the Fourth Proportional to 24,194.16, 33,398.52 and 14,118.77

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Solution

The fourth proportional to 24,194.16, 33,398.52 and 14,118.77 is: 19,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.16 : 33,398.52 = 14,118.77 : x
  2. Step 2: Convert to fraction form
    24,194.16/33,398.52 = 14,118.77/x
  3. Step 3: Cross multiply
    24,194.16x = 33,398.52 × 14,118.77
  4. Step 4: Simplify right side
    24,194.16x = 471,546,022.22
  5. Step 5: Solve for x
    x = 471,546,022.22/24,194.16
  6. Step 6: Final answer
    x = 19,490.08

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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.