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Finding the Fourth Proportional to 13,138.96, 19,693.84 and 5,343.52

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Solution

The fourth proportional to 13,138.96, 19,693.84 and 5,343.52 is: 8,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.96 : 19,693.84 = 5,343.52 : x
  2. Step 2: Convert to fraction form
    13,138.96/19,693.84 = 5,343.52/x
  3. Step 3: Cross multiply
    13,138.96x = 19,693.84 × 5,343.52
  4. Step 4: Simplify right side
    13,138.96x = 105,234,427.92
  5. Step 5: Solve for x
    x = 105,234,427.92/13,138.96
  6. Step 6: Final answer
    x = 8,009.34

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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.