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Finding the Fourth Proportional to 23,193.50, 34,806.45 and 9,342.50

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Solution

The fourth proportional to 23,193.50, 34,806.45 and 9,342.50 is: 14,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.50 : 34,806.45 = 9,342.50 : x
  2. Step 2: Convert to fraction form
    23,193.50/34,806.45 = 9,342.50/x
  3. Step 3: Cross multiply
    23,193.50x = 34,806.45 × 9,342.50
  4. Step 4: Simplify right side
    23,193.50x = 325,179,259.13
  5. Step 5: Solve for x
    x = 325,179,259.13/23,193.50
  6. Step 6: Final answer
    x = 14,020.28

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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.