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Finding the Fourth Proportional to 24,474.25, 33,774.47 and 14,538.25

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Solution

The fourth proportional to 24,474.25, 33,774.47 and 14,538.25 is: 20,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.25 : 33,774.47 = 14,538.25 : x
  2. Step 2: Convert to fraction form
    24,474.25/33,774.47 = 14,538.25/x
  3. Step 3: Cross multiply
    24,474.25x = 33,774.47 × 14,538.25
  4. Step 4: Simplify right side
    24,474.25x = 491,021,688.48
  5. Step 5: Solve for x
    x = 491,021,688.48/24,474.25
  6. Step 6: Final answer
    x = 20,062.79

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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.