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Finding the Fourth Proportional to 22,958.50, 34,443.53 and 6,542.50

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Solution

The fourth proportional to 22,958.50, 34,443.53 and 6,542.50 is: 9,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.50 : 34,443.53 = 6,542.50 : x
  2. Step 2: Convert to fraction form
    22,958.50/34,443.53 = 6,542.50/x
  3. Step 3: Cross multiply
    22,958.50x = 34,443.53 × 6,542.50
  4. Step 4: Simplify right side
    22,958.50x = 225,346,795.03
  5. Step 5: Solve for x
    x = 225,346,795.03/22,958.50
  6. Step 6: Final answer
    x = 9,815.40

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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.