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Finding the Fourth Proportional to 13,152.78, 19,729.17 and 5,362.20

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Solution

The fourth proportional to 13,152.78, 19,729.17 and 5,362.20 is: 8,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.78 : 19,729.17 = 5,362.20 : x
  2. Step 2: Convert to fraction form
    13,152.78/19,729.17 = 5,362.20/x
  3. Step 3: Cross multiply
    13,152.78x = 19,729.17 × 5,362.20
  4. Step 4: Simplify right side
    13,152.78x = 105,791,755.37
  5. Step 5: Solve for x
    x = 105,791,755.37/13,152.78
  6. Step 6: Final answer
    x = 8,043.30

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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.