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Finding the Fourth Proportional to 23,645.50, 35,437.59 and 9,589.12

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Solution

The fourth proportional to 23,645.50, 35,437.59 and 9,589.12 is: 14,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.50 : 35,437.59 = 9,589.12 : x
  2. Step 2: Convert to fraction form
    23,645.50/35,437.59 = 9,589.12/x
  3. Step 3: Cross multiply
    23,645.50x = 35,437.59 × 9,589.12
  4. Step 4: Simplify right side
    23,645.50x = 339,815,214.43
  5. Step 5: Solve for x
    x = 339,815,214.43/23,645.50
  6. Step 6: Final answer
    x = 14,371.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.