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Finding the Fourth Proportional to 13,232.29, 19,856.22 and 5,338.57

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Solution

The fourth proportional to 13,232.29, 19,856.22 and 5,338.57 is: 8,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.29 : 19,856.22 = 5,338.57 : x
  2. Step 2: Convert to fraction form
    13,232.29/19,856.22 = 5,338.57/x
  3. Step 3: Cross multiply
    13,232.29x = 19,856.22 × 5,338.57
  4. Step 4: Simplify right side
    13,232.29x = 106,003,820.41
  5. Step 5: Solve for x
    x = 106,003,820.41/13,232.29
  6. Step 6: Final answer
    x = 8,011.00

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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.