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Finding the Fourth Proportional to 13,562.98, 20,347.62 and 4,202.51

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Solution

The fourth proportional to 13,562.98, 20,347.62 and 4,202.51 is: 6,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.98 : 20,347.62 = 4,202.51 : x
  2. Step 2: Convert to fraction form
    13,562.98/20,347.62 = 4,202.51/x
  3. Step 3: Cross multiply
    13,562.98x = 20,347.62 × 4,202.51
  4. Step 4: Simplify right side
    13,562.98x = 85,511,076.53
  5. Step 5: Solve for x
    x = 85,511,076.53/13,562.98
  6. Step 6: Final answer
    x = 6,304.74

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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.