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Finding the Fourth Proportional to 24,521.14, 33,842.24 and 13,914.19

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Solution

The fourth proportional to 24,521.14, 33,842.24 and 13,914.19 is: 19,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521.14 : 33,842.24 = 13,914.19 : x
  2. Step 2: Convert to fraction form
    24,521.14/33,842.24 = 13,914.19/x
  3. Step 3: Cross multiply
    24,521.14x = 33,842.24 × 13,914.19
  4. Step 4: Simplify right side
    24,521.14x = 470,887,357.39
  5. Step 5: Solve for x
    x = 470,887,357.39/24,521.14
  6. Step 6: Final answer
    x = 19,203.32

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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.