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Finding the Fourth Proportional to 24,523.77, 33,842.49 and 14,452.64

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Solution

The fourth proportional to 24,523.77, 33,842.49 and 14,452.64 is: 19,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.77 : 33,842.49 = 14,452.64 : x
  2. Step 2: Convert to fraction form
    24,523.77/33,842.49 = 14,452.64/x
  3. Step 3: Cross multiply
    24,523.77x = 33,842.49 × 14,452.64
  4. Step 4: Simplify right side
    24,523.77x = 489,113,228.17
  5. Step 5: Solve for x
    x = 489,113,228.17/24,523.77
  6. Step 6: Final answer
    x = 19,944.45

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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.