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Finding the Fourth Proportional to 24,523.65, 33,842.32 and 14,452.51

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Solution

The fourth proportional to 24,523.65, 33,842.32 and 14,452.51 is: 19,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.65 : 33,842.32 = 14,452.51 : x
  2. Step 2: Convert to fraction form
    24,523.65/33,842.32 = 14,452.51/x
  3. Step 3: Cross multiply
    24,523.65x = 33,842.32 × 14,452.51
  4. Step 4: Simplify right side
    24,523.65x = 489,106,468.22
  5. Step 5: Solve for x
    x = 489,106,468.22/24,523.65
  6. Step 6: Final answer
    x = 19,944.28

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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.