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Finding the Fourth Proportional to 11,624.89, 17,442.37 and 4,230.40

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Solution

The fourth proportional to 11,624.89, 17,442.37 and 4,230.40 is: 6,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.89 : 17,442.37 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    11,624.89/17,442.37 = 4,230.40/x
  3. Step 3: Cross multiply
    11,624.89x = 17,442.37 × 4,230.40
  4. Step 4: Simplify right side
    11,624.89x = 73,788,202.05
  5. Step 5: Solve for x
    x = 73,788,202.05/11,624.89
  6. Step 6: Final answer
    x = 6,347.43

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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.