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Finding the Fourth Proportional to 25,697.40, 38,546.10 and 14,638.20

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Solution

The fourth proportional to 25,697.40, 38,546.10 and 14,638.20 is: 21,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.40 : 38,546.10 = 14,638.20 : x
  2. Step 2: Convert to fraction form
    25,697.40/38,546.10 = 14,638.20/x
  3. Step 3: Cross multiply
    25,697.40x = 38,546.10 × 14,638.20
  4. Step 4: Simplify right side
    25,697.40x = 564,245,521.02
  5. Step 5: Solve for x
    x = 564,245,521.02/25,697.40
  6. Step 6: Final answer
    x = 21,957.30

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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.