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Finding the Fourth Proportional to 25,774.34, 38,676.40 and 13,928.16

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Solution

The fourth proportional to 25,774.34, 38,676.40 and 13,928.16 is: 20,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.34 : 38,676.40 = 13,928.16 : x
  2. Step 2: Convert to fraction form
    25,774.34/38,676.40 = 13,928.16/x
  3. Step 3: Cross multiply
    25,774.34x = 38,676.40 × 13,928.16
  4. Step 4: Simplify right side
    25,774.34x = 538,691,087.42
  5. Step 5: Solve for x
    x = 538,691,087.42/25,774.34
  6. Step 6: Final answer
    x = 20,900.29

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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.