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Finding the Fourth Proportional to 24,713.76, 34,099.96 and 14,101.44

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Solution

The fourth proportional to 24,713.76, 34,099.96 and 14,101.44 is: 19,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.76 : 34,099.96 = 14,101.44 : x
  2. Step 2: Convert to fraction form
    24,713.76/34,099.96 = 14,101.44/x
  3. Step 3: Cross multiply
    24,713.76x = 34,099.96 × 14,101.44
  4. Step 4: Simplify right side
    24,713.76x = 480,858,539.94
  5. Step 5: Solve for x
    x = 480,858,539.94/24,713.76
  6. Step 6: Final answer
    x = 19,457.12

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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.