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Finding the Fourth Proportional to 24,475.75, 33,776.54 and 14,539.75

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Solution

The fourth proportional to 24,475.75, 33,776.54 and 14,539.75 is: 20,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.75 : 33,776.54 = 14,539.75 : x
  2. Step 2: Convert to fraction form
    24,475.75/33,776.54 = 14,539.75/x
  3. Step 3: Cross multiply
    24,475.75x = 33,776.54 × 14,539.75
  4. Step 4: Simplify right side
    24,475.75x = 491,102,447.47
  5. Step 5: Solve for x
    x = 491,102,447.47/24,475.75
  6. Step 6: Final answer
    x = 20,064.86

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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.