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Finding the Fourth Proportional to 24,774.66, 34,188.96 and 14,164.50

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Solution

The fourth proportional to 24,774.66, 34,188.96 and 14,164.50 is: 19,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.66 : 34,188.96 = 14,164.50 : x
  2. Step 2: Convert to fraction form
    24,774.66/34,188.96 = 14,164.50/x
  3. Step 3: Cross multiply
    24,774.66x = 34,188.96 × 14,164.50
  4. Step 4: Simplify right side
    24,774.66x = 484,269,523.92
  5. Step 5: Solve for x
    x = 484,269,523.92/24,774.66
  6. Step 6: Final answer
    x = 19,546.97

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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.