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Finding the Fourth Proportional to 17,642.50, 24,346.38 and 10,089.54

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Solution

The fourth proportional to 17,642.50, 24,346.38 and 10,089.54 is: 13,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.50 : 24,346.38 = 10,089.54 : x
  2. Step 2: Convert to fraction form
    17,642.50/24,346.38 = 10,089.54/x
  3. Step 3: Cross multiply
    17,642.50x = 24,346.38 × 10,089.54
  4. Step 4: Simplify right side
    17,642.50x = 245,643,774.87
  5. Step 5: Solve for x
    x = 245,643,774.87/17,642.50
  6. Step 6: Final answer
    x = 13,923.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.