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Finding the Fourth Proportional to 23,454.50, 35,188.31 and 9,424.37

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Solution

The fourth proportional to 23,454.50, 35,188.31 and 9,424.37 is: 14,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.50 : 35,188.31 = 9,424.37 : x
  2. Step 2: Convert to fraction form
    23,454.50/35,188.31 = 9,424.37/x
  3. Step 3: Cross multiply
    23,454.50x = 35,188.31 × 9,424.37
  4. Step 4: Simplify right side
    23,454.50x = 331,627,430.05
  5. Step 5: Solve for x
    x = 331,627,430.05/23,454.50
  6. Step 6: Final answer
    x = 14,139.18

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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.