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Finding the Fourth Proportional to 25,638.58, 38,457.70 and 13,797.92

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Solution

The fourth proportional to 25,638.58, 38,457.70 and 13,797.92 is: 20,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.58 : 38,457.70 = 13,797.92 : x
  2. Step 2: Convert to fraction form
    25,638.58/38,457.70 = 13,797.92/x
  3. Step 3: Cross multiply
    25,638.58x = 38,457.70 × 13,797.92
  4. Step 4: Simplify right side
    25,638.58x = 530,636,343.21
  5. Step 5: Solve for x
    x = 530,636,343.21/25,638.58
  6. Step 6: Final answer
    x = 20,696.79

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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.