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Finding the Fourth Proportional to 25,457.88, 38,201.94 and 13,770.84

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Solution

The fourth proportional to 25,457.88, 38,201.94 and 13,770.84 is: 20,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.88 : 38,201.94 = 13,770.84 : x
  2. Step 2: Convert to fraction form
    25,457.88/38,201.94 = 13,770.84/x
  3. Step 3: Cross multiply
    25,457.88x = 38,201.94 × 13,770.84
  4. Step 4: Simplify right side
    25,457.88x = 526,072,803.43
  5. Step 5: Solve for x
    x = 526,072,803.43/25,457.88
  6. Step 6: Final answer
    x = 20,664.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.