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Finding the Fourth Proportional to 13,562.51, 20,338.29 and 4,200.32

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Solution

The fourth proportional to 13,562.51, 20,338.29 and 4,200.32 is: 6,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.51 : 20,338.29 = 4,200.32 : x
  2. Step 2: Convert to fraction form
    13,562.51/20,338.29 = 4,200.32/x
  3. Step 3: Cross multiply
    13,562.51x = 20,338.29 × 4,200.32
  4. Step 4: Simplify right side
    13,562.51x = 85,427,377.10
  5. Step 5: Solve for x
    x = 85,427,377.10/13,562.51
  6. Step 6: Final answer
    x = 6,298.79

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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.