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Finding the Fourth Proportional to 12,982.40, 19,472.16 and 3,748.40

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Solution

The fourth proportional to 12,982.40, 19,472.16 and 3,748.40 is: 5,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.40 : 19,472.16 = 3,748.40 : x
  2. Step 2: Convert to fraction form
    12,982.40/19,472.16 = 3,748.40/x
  3. Step 3: Cross multiply
    12,982.40x = 19,472.16 × 3,748.40
  4. Step 4: Simplify right side
    12,982.40x = 72,989,444.54
  5. Step 5: Solve for x
    x = 72,989,444.54/12,982.40
  6. Step 6: Final answer
    x = 5,622.18

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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.