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Finding the Fourth Proportional to 12,772.70, 19,156.89 and 5,378.30

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Solution

The fourth proportional to 12,772.70, 19,156.89 and 5,378.30 is: 8,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.70 : 19,156.89 = 5,378.30 : x
  2. Step 2: Convert to fraction form
    12,772.70/19,156.89 = 5,378.30/x
  3. Step 3: Cross multiply
    12,772.70x = 19,156.89 × 5,378.30
  4. Step 4: Simplify right side
    12,772.70x = 103,031,501.49
  5. Step 5: Solve for x
    x = 103,031,501.49/12,772.70
  6. Step 6: Final answer
    x = 8,066.54

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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.