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Finding the Fourth Proportional to 13,230.56, 19,832.04 and 4,462.46

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Solution

The fourth proportional to 13,230.56, 19,832.04 and 4,462.46 is: 6,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.56 : 19,832.04 = 4,462.46 : x
  2. Step 2: Convert to fraction form
    13,230.56/19,832.04 = 4,462.46/x
  3. Step 3: Cross multiply
    13,230.56x = 19,832.04 × 4,462.46
  4. Step 4: Simplify right side
    13,230.56x = 88,499,685.22
  5. Step 5: Solve for x
    x = 88,499,685.22/13,230.56
  6. Step 6: Final answer
    x = 6,689.04

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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.